Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-stepTrigonometry. Find the Reference Angle (13pi)/5. 13π 5 13 π 5. Find an angle that is positive, less than 2π 2 π, and coterminal with 13π 5 13 π 5. Tap for more steps... 3π 5 3 π 5. Since the angle 3π 5 3 π 5 is in the second quadrant, subtract 3π 5 3 π 5 from π π. π− 3π 5 π - 3 π 5. Simplify the result. The reference angle is the angle from the sketch to the x-axis, in this case, 60 degrees. It makes sense here to state the angle in terms of its positive coterminal angle. To find this, add a positive rotation (360 degrees) until you get a positive angle. -240+360=120 Since 120 is positive, you can stop here. A 120 degree angle is in QII, so ...An icon in the shape of an angle pointing down. Jensen Huang, CEO of NVIDIA, speaks during a press conference at the Computex 2023 in Taipei on May 30, …5 Nov 2019 ... I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help ...Finding reference angles (Examples) Terminal side is in the first quadrant. When the terminal side is in the first quadrant (angles from 0° to 90° or from 0 to π/2), the reference angle is the same as the given angle. So, if our given angle is 60°, then its reference angle is also 60°.So, you can use this formula. Reference angle° = angleHow to use reference angles to find the sine, cosine and tangent of non-acute angles? To find the value of sine, cosine and tangent at non-acute angles (from 90 to 360), first draw the angle on the unit circle and find the reference angle. A reference angle is formed by the terminal side and the x-axis and will therefore always be acute. Trigonometry. Find the Reference Angle (11pi)/8. 11π 8 11 π 8. Since the angle π π is in the third quadrant, subtract π π from 11π 8 11 π 8. 11π 8 − π 11 π 8 - π. Simplify the result. Tap for more steps... 3π 8 3 π 8. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework ... Trigonometry. Find the Reference Angle (2pi)/3. 2π 3 2 π 3. Since the angle 2π 3 2 π 3 is in the second quadrant, subtract 2π 3 2 π 3 from π π. π− 2π 3 π - 2 π 3. Simplify the result. Tap for more steps... π 3 π 3. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions ...16 Jan 2020 ... Use reference angles to evaluate trigonometric functions. Looking for a thrill? Then consider a ride on the Singapore Flyer, the world's tallest ...This set of printable worksheets offers high school topics like finding the reference angles in degrees and radians; finding the coterminal angles for the indicated angles, positive and negative coterminal angles, and more. Reinforce the concept of reference and coterminal angles with the multiple response pdf worksheets featured here.a unit of plane angular measurement that is equal to the angle at the center of a circle subtended by an arc whose length equals the radius or approximately 180°/π ~ 57.3 degrees. reference angle the smallest possible angle made by the terminal side of the given angle with the x-axis. secFormally, the reference angle of an angle in standard position is the angle formed with the closest portion of the x x -axis. Notice that 30∘ 30 ∘ is the reference angle for many angles. For example, it is the reference angle for 210∘ 210 ∘ and for −30∘ − 30 ∘. In general, identifying the reference angle for an angle will help ...An angle’s reference angle is the measure of the smallest, positive, acute angle \(t\) formed by the terminal side of the angle \(t\) and the horizontal axis. Thus positive reference angles have terminal sides that lie in the first quadrant and can be used as models for angles in other quadrants.Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because tangent is negative in the second quadrant. −tan(30) - tan ( 30) The exact value of tan(30) tan ( 30) is √3 3 3 3. − √3 3 - 3 3. The result can be shown in multiple forms. Exact Form:Recommendations. Skill plans. IXL plans. Washington state standards. Textbooks. Test prep. Awards. Improve your math knowledge with free questions in "Coterminal and reference angles" and thousands of other math skills.reference angle 100. en. Related Symbolab blog posts. My Notebook, the Symbolab way. Math notebooks have been around for hundreds of years. You write down problems, solutions and notes to go back... Read More. Enter a problem. Cooking Calculators. Cooking Measurement Converter Cooking Ingredient Converter Cake Pan Converter See more.Find the Reference Angle (9pi)/8. Step 1. Since the angle is in the third quadrant, subtract from . Step 2. Simplify the result. Tap for more steps... Step 2.1. To write as a fraction with a common denominator, multiply by . Step 2.2. Combine fractions. Tap for more steps... Step 2.2.1. Combine and .Learn how to find the reference angle of any angle on the x-y plane using the unit circle. See formulas, examples, practice problems and word problems with solutions.Trigonometry. Find the Reference Angle pi/4. π 4 π 4. Since π 4 π 4 is in the first quadrant, the reference angle is π 4 π 4. π 4 π 4. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.Trigonometry. Find the Reference Angle (17pi)/3. 17π 3 17 π 3. Find an angle that is positive, less than 2π 2 π, and coterminal with 17π 3 17 π 3. Tap for more steps... 5π 3 5 π 3. Since the angle 5π 3 5 π 3 is in the fourth quadrant, subtract 5π 3 5 π 3 from 2π 2 π. 2π− 5π 3 2 π - 5 π 3. Simplify the result. This video provides examples of how to determine the reference angle for an angle sketched in standard position.Complete Video List at http://www.mathispower...10 May 2020 ... Share your videos with friends, family, and the world.Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Angle Bisector. How to construct an Angle Bisector (halve the angle) using just a compass and a straightedge. Geometric Constructions.Learn how to use the reference angle calculator to find the acute angle that is the same as or smaller than any given angle. The calculator explains the rules for finding the …Trigonometry Examples. Find the Reference Angle (7pi)/5. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. 4 Dec 2018 ... Learn how to find the reference angle of a given angle. The reference angle is the acute angle formed by the terminal side of an angle and ...A reference angle is a positive acute angle, which as we just mentioned above means that is between 0 and 90°; a reference angle is never any other type of angle. Reference angles are found inside of the reference triangle and close to the origin, which is also the vertex.Question: find the reference angle for the given angles. a)2.1 b)2.1π. find the reference angle for the given angles. a)2.1. b)2.1 π. Here’s the best way to solve it.Reference Angles quiz for KG students. Find other quizzes for Mathematics and more on Quizizz for free! 16 Qs . Coterminal & Reference Angles 596 plays 12th 10 Qs . Degrees of a Circle 11.5K plays 4th - 5th 18 Qs . Properties of Kites and Trapezoids 292 plays 10th 23 Qs . Interior Angle Sum of Polygons ...required to use a reference angle . A reference angle is the acute angle θ' (read as theta prime) formed by the terminal side of the angle θ, and the x axis. REFERENCE ANGLES ARE ALWAYS DRAWN IN RELATION TO THE X AXIS. Therefore, to evaluate the six trigonometric functions of a 150° angle in standard position, a 30° angle will be used.Trigonometry. Find the Reference Angle (7pi)/5. 7π 5 7 π 5. Since the angle π π is in the third quadrant, subtract π π from 7π 5 7 π 5. 7π 5 − π 7 π 5 - π. Simplify the result. Tap for more steps... 2π 5 2 π 5. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with ...Learn how to find the reference angle for any positive angle in degrees or radians, and how to use it for trigonometric functions. …Are you an avid angler looking to take your fishing game to the next level? Look no further than Lowrance Electronics. With their cutting-edge technology and innovative features, L...Trigonometry. Find the Reference Angle -200 degrees. −200° - 200 °. Find an angle that is positive, less than 360° 360 °, and coterminal with −200° - 200 °. Tap for more steps... 160° 160 °. Since the angle 160° 160 ° is in the second quadrant, subtract 160° 160 ° from 180° 180 °. 180°− 160° 180 ° - 160 °. Subtract 160 ...Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Reference Angle for an Ang...If the angle is in radians, then we do the same rules as for degrees by replacing 180° with π and 360° with 2π. Example: Find the reference angle of 120°. …Sep 15, 2021 · A reference angle, denoted θ^ θ ^, is the positive acute angle between the terminal side of θ θ and the x x -axis. The word reference is used because all angles can refer to QI. That is, memorization of ordered pairs is confined to QI of the unit circle. If a standard angle θ θ has a reference angle of 30˚ 30 ˚, 45˚ 45 ˚, or 60˚ 60 ... Find an angle that is positive, less than 360° 360 °, and coterminal with 555° 555 °. Tap for more steps... 195° 195 °. Since the angle 180° 180 ° is in the third quadrant, subtract 180° 180 ° from 195° 195 °. 195°− 180° 195 ° - 180 °. Subtract 180 180 from 195 195. 15° 15 °.Trigonometry. Find the Reference Angle -580 degrees. −580° - 580 °. Find an angle that is positive, less than 360° 360 °, and coterminal with −580° - 580 °. Tap for more steps... 140° 140 °. Since the angle 140° 140 ° is in the second quadrant, subtract 140° 140 ° from 180° 180 °. 180°− 140° 180 ° - 140 °. Subtract 140 ... IXL plans. Washington state standards. Textbooks. Test prep. Awards. Improve your math knowledge with free questions in "Reference angles" and thousands of other math skills.An angle is any measurement of rotation around a circle, while a reference angle is a positive acute angle formed between the terminal side of an angle in standard position and the x-axis. Every angle has a reference angle, which is always between 0 and 90 degrees (or 0 and π/2 radians).Below are the formulas to find reference angles in degrees: First Quadrant: 0 o – 90 o. R e f e r e n c e A n g l e = A n g l e. Second Quadrant: 90 o – 180 o. R e f e r e n c e A n g …Trigonometry. Find the Reference Angle (13pi)/5. 13π 5 13 π 5. Find an angle that is positive, less than 2π 2 π, and coterminal with 13π 5 13 π 5. Tap for more steps... 3π 5 3 π 5. Since the angle 3π 5 3 π 5 is in the second quadrant, subtract 3π 5 3 π 5 from π π. π− 3π 5 π - 3 π 5. Simplify the result. Trigonometry. Find the Reference Angle (17pi)/3. 17π 3 17 π 3. Find an angle that is positive, less than 2π 2 π, and coterminal with 17π 3 17 π 3. Tap for more steps... 5π 3 5 π 3. Since the angle 5π 3 5 π 3 is in the fourth quadrant, subtract 5π 3 5 π 3 from 2π 2 π. 2π− 5π 3 2 π - 5 π 3. Simplify the result.Geometry (all content) 17 units · 180 skills. Unit 1 Lines. Unit 2 Angles. Unit 3 Shapes. Unit 4 Triangles. Unit 5 Quadrilaterals. Unit 6 Coordinate plane. Unit 7 Area and perimeter. Unit 8 Volume and surface area. Step-by-step guide to finding reference angles. The reference angle is the smallest possible angle formed by the terminal side of the given angle with the \(x\)-axis. It is always an acute angle (except when it is exactly \(90°\)). A reference angle is always positive regardless of which side the axis is falling.A reference angle is the positive acute angle formed between the terminal side of an angle and the nearest x-axis in a Cartesian coordinate system. In other words, the reference angle is that angle sandwiched between the terminal side and the x-axis and it always falls between 0 and 90 degrees.Find the Reference Angle (6pi)/7. 6π 7 6 π 7. Since the angle 6π 7 6 π 7 is in the second quadrant, subtract 6π 7 6 π 7 from π π. π− 6π 7 π - 6 π 7. Simplify the result. Tap for more steps... π 7 π 7. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by ...Trigonometry. Find the Reference Angle 990 degrees. 990° 990 °. Find an angle that is positive, less than 360° 360 °, and coterminal with 990° 990 °. Tap for more steps... 270° 270 °. Since the angle 180° 180 ° is in the third quadrant, subtract 180° 180 ° from 270° 270 °. 270°− 180° 270 ° - 180 °. Subtract 180 180 from 270 270.Reference citations educate your audience and add credibility to your material. A document can provide references using either footnotes or a separate References sections. A presen...Trigonometry. Find the Reference Angle (23pi)/7. 23π 7 23 π 7. Find an angle that is positive, less than 2π 2 π, and coterminal with 23π 7 23 π 7. Tap for more steps... 9π 7 9 π 7. Since the angle π π is in the third quadrant, subtract π π from 9π 7 9 π 7. 9π 7 − π 9 π 7 - π. Simplify the result. Find the Reference Angle 630. 630 630. Find an angle that is positive, less than 360° 360 °, and coterminal with 630° 630 °. Tap for more steps... 270° 270 °. Since the angle 180° 180 ° is in the third quadrant, subtract 180° 180 ° from 270° 270 °. 270°− 180° 270 ° - 180 °. Subtract 180 180 from 270 270. 90° 90 °.Trigonometry. Find the Reference Angle (34pi)/9. 34π 9 34 π 9. Find an angle that is positive, less than 2π 2 π, and coterminal with 34π 9 34 π 9. Tap for more steps... 16π 9 16 π 9. Since the angle 16π 9 16 π 9 is in the fourth quadrant, subtract 16π 9 16 π 9 from 2π 2 π. 2π− 16π 9 2 π - 16 π 9. Simplify the result.A square has four corners, which are also referred to as vertices. At each of the four corners of a square, two perpendicular lines meet to form a right angle. A square contains a ...28 Nov 2013 ... The 'reference angle' is determined for three different angle examples - one degree measure, a second exact value radian measure, ...Trigonometry. Find the Reference Angle (7pi)/12. 7π 12 7 π 12. Since the angle 7π 12 7 π 12 is in the second quadrant, subtract 7π 12 7 π 12 from π π. π− 7π 12 π - 7 π 12. Simplify the result. Tap for more steps... 5π 12 5 π 12. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics ...1. Find the reference angle for each of the following angles. a) A = 120o b) A = −15𝜋/4 c) A = −30o Solutions a) Since angle A is in quadrant II, the reference angle, A r = 180 o - 120o = 60o. b) The given angle is not positive and less than 2𝜋. We can use the positive and less than 2𝜋 coterminal A c to angle A. AThe angle of inclination of the Earth relative to the plane of the Earth’s solar orbit is 23.5 degrees. This angle of inclination, also referred to as the “tilt” or “deviation,” di...Definition: Reference Angle. If 𝜃 is an angle in standard position, and not a quadrantal angle (integer multiple of a right angle), then the measure of the acute angle the terminal side makes with the 𝑥-axis is called the reference angle of 𝜃.Find the Reference Angle (5pi)/6. 5π 6 5 π 6. Since the angle 5π 6 5 π 6 is in the second quadrant, subtract 5π 6 5 π 6 from π π. π− 5π 6 π - 5 π 6. Simplify the result. Tap for more steps... π 6 π 6. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by ... This trigonometry video tutorial explains how to use reference angles to evaluate trigonometric functions such as sine, cosine, tangent, secant, cosecant, an...EMIS Clinical Immediate Reference. Patient offers free health information links to useful sites and leaflets for you to learn more about EMIS Clinical Immediate Reference. Symptoms...Determine the reference angle. In the special right triangles, a side length of 1/2 is the short leg of a 30-60-90-degree right triangle. Therefore, the cosine (or the part along the x-axis) is the short leg and the vertical leg is the long leg.So the vertex of the angle at the center of the unit circle has a measure of 60 degrees, making the reference …16 Jan 2020 ... Use reference angles to evaluate trigonometric functions. Looking for a thrill? Then consider a ride on the Singapore Flyer, the world's tallest ...The procedure to use the reference angle calculator is as follows: Step 1: Enter the angle in the input field. Step 2: Now click the button “Calculate Reference Angle” to get the result. Step 3: Finally, the reference angle for the given angle will be displayed in the output field.5 Jan 2024 ... A reference angle is the acute angle between the terminal side of an angle and the x – axis. The diagram below shows the reference angles for ...19 Jul 2020 ... Without the reference angle, it is not possible to find the exact values of the circular function. In life, our reference angle is the law. We ...How to use reference angles to find the sine, cosine and tangent of non-acute angles? To find the value of sine, cosine and tangent at non-acute angles (from 90 to 360), first draw the angle on the unit circle and find the reference angle. A reference angle is formed by the terminal side and the x-axis and will therefore always be acute. Trigonometry. Find the Reference Angle pi/6. π 6 π 6. Since π 6 π 6 is in the first quadrant, the reference angle is π 6 π 6. π 6 π 6. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Find an angle that is positive, less than 360° 360 °, and coterminal with 555° 555 °. Tap for more steps... 195° 195 °. Since the angle 180° 180 ° is in the third quadrant, subtract 180° 180 ° from 195° 195 °. 195°− 180° 195 ° - 180 °. Subtract 180 180 from 195 195. 15° 15 °. Trigonometry. Find the Reference Angle 700 degrees. 700° 700 °. Find an angle that is positive, less than 360° 360 °, and coterminal with 700° 700 °. Tap for more steps... 340° 340 °. Since the angle 340° 340 ° is in the fourth quadrant, subtract 340° 340 ° from 360° 360 °. 360°− 340° 360 ° - 340 °. Subtract 340 340 from 360 ...4 Dec 2018 ... Learn how to find the reference angle of a given angle. The reference angle is the acute angle formed by the terminal side of an angle and ...After you've dialed in on a shortlist of contractors—whose work you admire and budget you can live with—it's time to start checking their references. Here's how to research them so...360\degree / 4 = 90\degree 360°/4 = 90°. Use the central angle calculator to find arc length. You can try the final calculation yourself by rearranging the formula as: L = \theta \cdot r L = θ ⋅ r. Then convert the central angle into radians 90\degree = 1.57\ \mathrm {rad} 90° = 1.57 rad (use our angle converter if you don't remember how ...Trigonometry. Find the Reference Angle 560 degrees. 560° 560 °. Find an angle that is positive, less than 360° 360 °, and coterminal with 560° 560 °. Tap for more steps... 200° 200 °. Since the angle 180° 180 ° is in the third quadrant, subtract 180° 180 ° from 200° 200 °. 200°− 180° 200 ° - 180 °. Subtract 180 180 from 200 200. Use the Chase Refer-A-Friend program to earn up to 50,000 more Ultimate Rewards points each year, funding your next exciting points vacation! We may be compensated when you click o...Pre-CalculusHow to find the reference angle - TrigonometryThe reference angle is the angle that the given angle makes with the x-axis. Regardless of where th...For each angle drawn in standard position, there is a related angle known as a Reference Angle. Reference angle is the smallest angle formed by the terminal side and the x-axis (the horizontal axis). The reference …A reference angle is the acute angle formed between the terminal side of an angle in standard position and the x-axis. It serves as a reference point to determine the exact …Reference citations educate your audience and add credibility to your material. A document can provide references using either footnotes or a separate References sections. A presen...Reference Angles & Trig Functions. Which of the following is a reference angle for. θ = 158 ∘? 22 ∘. 58 ∘. 202 ∘. -202 ∘. Which of the following is a reference angle for.1 Nov 2012 ... Learn about angles in trigonometry. An angle is the figure formed by two rays sharing the same endpoint. The two rays are called the sides ...Trigonometry. Find the Reference Angle -195 degrees. −195° - 195 °. Find an angle that is positive, less than 360° 360 °, and coterminal with −195° - 195 °. Tap for more steps... 165° 165 °. Since the angle 165° 165 ° is in the second quadrant, subtract 165° 165 ° from 180° 180 °. 180°− 165° 180 ° - 165 °. Subtract 165 ...
Oct 12, 2017 · This trigonometry video tutorial provides a basic introduction into reference angles. It explains how to find the reference angle in radians and degrees. T... . Easy cheap diabetic meals
Reference Angles quiz for KG students. Find other quizzes for Mathematics and more on Quizizz for free! 16 Qs . Coterminal & Reference Angles 596 plays 12th 10 Qs . Degrees of a Circle 11.5K plays 4th - 5th 18 Qs . Properties of Kites and Trapezoids 292 plays 10th 23 Qs . Interior Angle Sum of Polygons ...Trigonometry. Find the Reference Angle (11pi)/8. 11π 8 11 π 8. Since the angle π π is in the third quadrant, subtract π π from 11π 8 11 π 8. 11π 8 − π 11 π 8 - π. Simplify the result. Tap for more steps... 3π 8 3 π 8. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework ... 26 May 2011 ... This video provides examples of how to determine the reference angle for an angle sketched in standard position. Complete Video List at ...Creating a 3-D character online for free involves selecting a 3-D character generator and selecting from the myriad options presented for each characteristic of the avatar's appear...Reference Triangles in the First Quadrant: To form the reference triangle, simply drop a perpendicular from the terminal ray of the angle to the x-axis, forming a right triangle. In …Learn how to find Reference Angles in this free video math tutorial by Mario's Math Tutoring. We discuss what a reference angle is and how they can be used....The reference angle is the angle from the sketch to the x-axis, in this case, 60 degrees. It makes sense here to state the angle in terms of its positive coterminal angle. To find this, add a positive rotation (360 degrees) until you get a positive angle. -240+360=120 Since 120 is positive, you can stop here. A 120 degree angle is in QII, so ...A reference angle is the acute angle (less than 90 degrees) formed by the terminal side of the given angle and the x-axis. It is always measured counter-clockwise from the x-axis to the terminal side of an angle in standard position. The crucial part to remember here is that a reference angle is always positive and less than or equal to 90 …Definition: Reference Angle. If 𝜃 is an angle in standard position, and not a quadrantal angle (integer multiple of a right angle), then the measure of the acute angle the terminal side makes with the 𝑥-axis is called the reference angle of 𝜃.After you've dialed in on a shortlist of contractors—whose work you admire and budget you can live with—it's time to start checking their references. Here's how to research them so...After you've dialed in on a shortlist of contractors—whose work you admire and budget you can live with—it's time to start checking their references. Here's how to research them so...Reference Angle. For any given angle, its reference angle is an acute version of that angle. In standard position, the reference angle is the smallest angle between the terminal side and the x-axis.The values of the trig functions of angle θ are the same as the trig values of the reference angle for θ, give or take a minus sign.A complex number or sequence of complex numbers. Return angle in degrees if True, radians if False (default). The counterclockwise angle from the positive real axis on the complex plane in the range (-pi, pi], with dtype as numpy.float64. Changed in version 1.16.0: This function works on subclasses of ndarray like ma.array.Trigonometry. Find the Reference Angle -60 degrees. −60° - 60 °. Find an angle that is positive, less than 360° 360 °, and coterminal with −60° - 60 °. Tap for more steps... 300° 300 °. Since the angle 300° 300 ° is in the fourth quadrant, subtract 300° 300 ° from 360° 360 °. 360°− 300° 360 ° - 300 °. Subtract 300 300 ... reference angle 100. en. Related Symbolab blog posts. My Notebook, the Symbolab way. Math notebooks have been around for hundreds of years. You write down problems, solutions and notes to go back... Read More. Enter a problem. Cooking Calculators. Cooking Measurement Converter Cooking Ingredient Converter Cake Pan Converter See more.28 Nov 2013 ... The 'reference angle' is determined for three different angle examples - one degree measure, a second exact value radian measure, ...A reference angle is the angle between the terminal side of an angle and the x-axis or the y-axis. It is always between 0 and pi/2 radians or degrees. Learn how to calculate reference angles, use them to simplify trigonometric functions, and apply them to graphs of sines and cosines. Trigonometry. Find the Reference Angle (9pi)/5. 9π 5 9 π 5. Since the angle 9π 5 9 π 5 is in the fourth quadrant, subtract 9π 5 9 π 5 from 2π 2 π. 2π− 9π 5 2 π - 9 π 5. Simplify the result. Tap for more steps... π 5 π 5. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework ...Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because tangent is negative in the second quadrant. −tan(30) - tan ( 30) The exact value of tan(30) tan ( 30) is √3 3 3 3. − √3 3 - 3 3. The result can be shown in multiple forms. Exact Form:.