AST Geometry and Trigonometry 3

Question 1

In a right triangle, sin(θ) is defined as which ratio?

Accepted Answer

opposite/hypotenuse

Answer

adjacent/hypotenuse

Answer

opposite/adjacent

Answer

hypotenuse/opposite

Question 2

What is the value of cos(60°)?

Accepted Answer

1/2

Answer

√3/2

Answer

√2/2

Answer

1

Question 3

What does the Pythagorean trigonometric identity state?

Accepted Answer

sin²(θ) + cos²(θ) = 1

Answer

sin²(θ) − cos²(θ) = 1

Answer

sin(θ) + cos(θ) = 1

Answer

sin²(θ) × cos²(θ) = 1

Question 4

If tan(θ) = 1 and 0° < θ < 90°, what is θ?

Accepted Answer

45°

Answer

30°

Answer

60°

Answer

90°

Question 5

A 10-foot ladder leans against a wall making a 60° angle with the ground. How high up the wall does it reach?

Accepted Answer

5√3 feet

Answer

5 feet

Answer

10 feet

Answer

5√2 feet

Question 6

How many degrees are equivalent to 2π radians?

Accepted Answer

360°

Answer

90°

Answer

180°

Answer

270°

Question 7

Which of the following is equivalent to cos(30°)?

Accepted Answer

√3/2

Answer

1/2

Answer

√2/2

Answer

√3