UTMA Trigonometry 3

Question 1

What is the amplitude of y = 3sin(x)?

Accepted Answer

3

Answer

The amplitude of y = A sin(x) is |A| = 3.

Question 2

What is tan(0°)?

Accepted Answer

0

Answer

tan(0°) = sin(0°)/cos(0°) = 0/1 = 0.

Question 3

Which identity correctly expresses sin(A + B)?

Accepted Answer

sinA cosB + cosA sinB

Answer

The sum identity is sin(A+B) = sinA cosB + cosA sinB.

Question 4

Convert 3π/4 radians to degrees.

Accepted Answer

135°

Answer

3π/4 × (180°/π) = 540°/4 = 135°.

Question 5

In which quadrant is sin(θ) > 0 and cos(θ) < 0?

Accepted Answer

Quadrant II

Answer

In Quadrant II, x < 0 so cos < 0 and y > 0 so sin > 0.

UTMA - University of Toronto Math Assessment Practice Test