ACT Math: Trigonometry 2

Question 1

In a right triangle, the side opposite a 30° angle has length 5. What is the length of the hypotenuse?

Accepted Answer

10

Answer

5√3

Answer

5√2

Answer

2.5

Question 2

What is the exact value of cos(60°)?

Accepted Answer

1/2

Answer

√3/2

Answer

√2/2

Answer

1

Question 3

If tan(θ) = 3/4 and θ is acute, what is sin(θ)?

Accepted Answer

3/5

Answer

4/5

Answer

5/3

Answer

4/3

Question 4

Which identity is always true for any angle θ?

Accepted Answer

sin²θ + cos²θ = 1

Answer

sinθ + cosθ = 1

Answer

tanθ = sinθ + cosθ

Answer

sin²θ - cos²θ = 1

Question 5

A ladder leans against a wall making a 70° angle with the ground. If the ladder is 12 ft long, how high up the wall does it reach (nearest tenth)?

Accepted Answer

11.3 ft

Answer

4.1 ft

Answer

12.8 ft

Answer

6.0 ft

Question 6

What is the period of the function y = sin(x)?

Accepted Answer

2π

Answer

π

Answer

π/2

Answer

4π

Question 7

Convert 180° to radians.

Accepted Answer

π

Answer

2π

Answer

π/2

Answer

π/180