Question

When Θ = 5 pi over 3, what are the reference angle and the sign values for sine, cosine, and tangent?

Answer 1

Θ = 5 pi/3
5pi/3 lies in quadrant IV = 2pi - pi/3
The reference angle is pi/3

Θ'= pi over 3, cosine is positive, sine and tangent are negative

Answer 2

Answer:

the reference angle is given by $\frac{\pi}{3}$

sine = negative

cosine = positive

tangent = negative

Step-by-step explanation:

We have been given the angle $\theta=\frac{5\pi}{3}$

The angle lies in Quadrant IV. Hence, in order to find the reference angle, we can subtract this angle with  $2\pi$

Therefore, the reference angle is given by

$2\pi - \frac{5\pi}{3} \\\\=\frac{\pi}{3}$

In Quadrant IV, cosine and secant functions are positive and rest trigonometric functions are negative.

Thus, we have

sine = negative

cosine = positive

tangent = negative