SAT PRACTICE WORKSHEET IN TRIGONOMETRY

Problem 1 :

Given right triangle ABC above which of the following is equal to c/b?

A)  tan B     B)  1/tan B    C)  cos B    D)  1/cos B

Solution

Problem 2 :

sin x = cos y

In the equation above, x and y are measured in radians. Which of the following could be x in terms of y ?

A)  π/2 - y      B)  π/2 + y     C)  y - π/2     D)  π - y

Solution

Problem 3 :

What is the value of sin 30° - cos 60° ?

Solution

Problem 4 :

Given right triangle ABC below, which of the following gives the length of AB in terms of θ ?

A)  sin θ     B) cos θ     C)  tan θ     D) 1/sin θ

Solution

Problem 5 :

In the xy plane below, a circle with radius 5 has its center at the origin. Point A lies on the circle and has coordinates (m, n). What is n in terms of θ ?

A)  5 sin θ     B) 5 cos θ     C)  tan θ     D) 5(sin θ + cos θ)

Solution

Problem 6 :

Given the right triangle below, which of the following is equal to a ?

A)  a tan θ    B)  b sin θ       C) c sin θ    D) c cos θ

Solution

Problem 7 :

In the figure given below ∠BAC = 30°,  ∠BCA = 45°, and AB = 8. What is the length of BC ?

A)  4       B)  4√2     C)  4√3    D) 8√2

Solution

Problem 8 :

sin 24 = cos 3k + 6

In the equation above, the angle measures are in degrees. If 0° < k < 90°, what is the value of k ?

Solution

Problem 9 :

Right triangle ABC is shown in the xy-plane above. What is the value of tan A?

A)  7/12    B)  3/4    C)  7/9    D)  12/7

Solution