SAT Practice Problems on Trigonometry Worksheet

Problem 1 :

sin(x) = cos(K − x)

In the equation above, the angle measures are in radians and K is a constant. Which of the following could be the value of K?

A) 0      B) π/4      C) π/2       D) π

Solution

Problem 2 :

In a right triangle, one angle measures x°, where

sin x° = 4/5

What is cos(90° − x°) ?

Solution

Problem 3 :

In a circle with center O, central angle AOB has a measure of 5π/4 radians. The area of the sector formed by central angle AOB is what fraction of the area of the circle?

Solution

Problem 4 :

In the -xy plane above, O is the center of the circle, and the measure of ∠POQ is kπ radians. What is the value of k?

Solution

Problem 5 :

In the -xy plane above, O is the center of the circle and the measure of ∠AOD is π/3. If the radius of circle O is 6 what is the length of AD?

Solution

Problem 6 :

Which of the following is equal to cos(π/8) ?

A)  cos 3π/8       B)  cos 7π/8

C)  sin 3π/8        D)  sin 7π/8

Solution

Problem 7 :

In the figure above, what is the value of cos ∠AOD?

A) 3/5        B) 3/4     C) 4/5     D) 4/3

Solution

Problem 8 :

In the right triangle shown below, if tan θ = 3/4, what is sin θ?

A)  1/3     B)  1/2       C)  4/5     D) 3/5

Solution

Problem 9 :

In the xy-plane above, O is the center of the circle and the measure of ∠POQ is k π radians.

What is the value of k ?

A)  1/3    B) 1/2     C)  2/3     D)  3/4

Solution

Problem 10 :

In the right triangle ABC above, the cosine of x° is 3/5. If BC = 12, what is the length of AC?

Solution