# In Which Quadrant Will Cos 19pi 6 Lie?

August 23, 2022

Make the expression negative because the cosine in the third quadrant is negative. The exact value of cos(π6) cos ( π 6 ) is √32 .

## What is the exact value of cos (- 19pi 6?

Explanation: We can subtract 2π from 19π6 and still have the same cosine value – the angles would be at the same place on the unit circle. Thus cos(19π6)=cos(7π6) .

## What angle is Coterminal with 19pi 6?

Trigonometry examples

Find an angle that is positive, less than 2π and coterminal with 19π6 19π 6 . Subtract 2π 2 π from 19π6 19 π 6 . The resulting angle of 7π6 7 π 6 is positive, less than 2π 2 π and coterminal with 19π6 19 π 6 . Since the angle π is in the third quadrant, subtract π from 7π6 7 π 6 .

## How do you find the exact value of cos pi 6?

The value of cos pi/6 can be calculated by constructing an angle of π/6 radians with the x-axis and then finding the coordinates of the corresponding point (0.866, 0.5) on the unit circle become. The value of cos pi/6 is equal to the x coordinate (0.866). ∴ cospi/6 = 0.866.

## How do you find the exact value of cos 570?

The value of cos 570 degrees can be calculated by constructing an angle of 570° with the x-axis and then finding the coordinates of the corresponding point (-0.866, -0.5) on the unit circle . The value of cos 570° is equal to the x coordinate (-0.866). ∴ cos 570° = -0.866.

## How do you find Coterminal?

To find an ending angle or angle of the given angle, simply add or subtract 360 degrees of the ending angle as many times as possible.

## What angle is Coterminal with 27pi 10?

Algebra Examples

Find an angle that is positive, less than 2π and coterminal with 27π10 27 π 10 . Subtract 2π 2 π from 27π10 27 π 10 . The resulting angle of 7π10 7 π 10 is positive, less than 2π 2 π and coterminal with 27π10 27 π 10 .

## How do you find the value of tan 19pi 3?

Tan 19pi/3 can also be expressed as the equivalent of the given angle (19pi/3) in degrees (1140°). ∴ tan 19pi/3 = tan 19π/3 = tan(1140°) = √3 or 1.7320508. . . Explanation: For tan 19pi/3 the angle 19pi/3 > 2pi.

## What is the value of Cos pi 6 Brainly?

Trigonometry Examples

The exact value of cos(π6) cos ( π 6 ) is √32 .

## What is cos pi 6 as a fraction?

Trigonometry Examples

Apply the reference angle by finding the angle with equivalent trigonometric values ​​in the first quadrant. The exact value of cos(π6) cos ( π 6 ) is √32 .

## What quadrants are cosine negative?

Cosine is negative in two quadrants: quadrants 2 and 3 (left quadrants where x is negative).

## What are the 4 quadrants?

Quadrant One (QI) is the upper right quarter of the coordinate plane where there are only positive coordinates. Quadrant two (QII) is the upper left quarter of the coordinate plane. Quadrant three (QIII) is the fourth lower left. Quadrant four (QIV) is the lower right fourth.

## What is the quadrant of 360?

Angles between 180∘ and 270∘ are in the third quadrant. Angles between 270° and 360° are in the fourth quadrant.

## What is the value of cot 570 degree?

Cot 570 degrees is the value of the trigonometric cotangent function for an angle of 570 degrees. The value of the cot 570° is √3 or 1.7321 (approximately).

### References:

1. https://socratic.org/questions/how-do-you-find-the-exact-value-of-cos-19pi-6
2. https://www.mathway.com/popular-problems/Trigonometry/302618
4. https://www.cuemath.com/trigonometry/cos-pi-6/
6. https://www.cuemath.com/trigonometry/cos-570-degrees/
7. https://www.varsitytutors.com/precalculus-help/find-the-measure-of-a-coterminal-angle
8. https://www.mathway.com/popular-problems/Algebra/689116
9. https://www.cuemath.com/geometry/coterminal-angles/
10. https://www.cuemath.com/trigonometry/tan-19pi-3/