Math Trigonometry and the Unit Circle

Question 1

In a right triangle, the side opposite a 30° angle is 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 value of cos(60°)?

Accepted Answer

0.5

Answer

√3/2

Answer

1

Answer

√2/2

Question 3

Which of the following is equivalent to tan(θ)?

Accepted Answer

sin(θ)/cos(θ)

Answer

cos(θ)/sin(θ)

Answer

1/sin(θ)

Answer

sin²(θ) + cos²(θ)

Question 4

An angle of 3π/2 radians is equivalent to how many degrees?

Accepted Answer

270°

Answer

180°

Answer

90°

Answer

360°

Question 5

A ladder leans against a wall making a 65° angle with the ground. The ladder is 10 feet long. How high up the wall does it reach? (sin 65° ≈ 0.906)

Accepted Answer

9.06 feet

Answer

4.23 feet

Answer

10.9 feet

Answer

6.54 feet

Question 6

Which of the following is a Pythagorean identity?

Accepted Answer

sin²(θ) + cos²(θ) = 1

Answer

sin(θ) + cos(θ) = 1

Answer

tan²(θ) + 1 = sin²(θ)

Answer

sin(θ) = cos(90° + θ)