Exam 5: Trigonometric Functions

Find the four smallest positive numbers $\theta$ such that . Give the exact answers.

Find the smallest real number x such that . Give the exact answer.

Given that , find an exact expression for :

Suppose u is in the interval , with tan(u) = -3. Find an exact expression for cos(-u).

Suppose u is in the interval , with tan(u) = -1. Find an exact expression for .

Find all numbers t such that is a point on the unit circle. Give the exact answers.

Find the smallest real number x such that . Give the exact answer.

For a 16-inch pizza, find the area of a slice with angle Radians.

Suppose And . Evaluate cos $\theta$ .

-Suppose a = 9 and b = 11. Evaluate sin(u). Give the exact answer.

Find the points where the line through the origin with slope 3 intersects the unit circle. Give the exact answers.

-Suppose c = 17 and . Evaluate cos(v). Give the exact answer.

-Suppose a = 8 and b = 13. Evaluate c. Give the exact answer.

Suppose a slice of pizza with an angle of Radians has an area of Squares inches. What is the diameter of this pizza?

Suppose u is in the interval , with cot(u) = 5. Find an exact expression for sec(u).

Suppose and . Evaluate: A) sin((\theta\)) B) cos( $\theta$ ) Give the exact answers.

Suppose and . Evaluate: A) sin( $\theta$ ) B) cos( $\theta$ ) Give the exact answers.

Suppose u is in the interval , with tan(u) = 4. Find an exact expression for csc(u).

-Suppose c = 5 and . Evaluate sin(u).

For the point , find the smallest positive angle the radius of the unit circle ending at that point makes with the positive horizontal axis. Give the exact answer in degrees.