UTMA Trigonometry 2

Question 1

What is sin(90°)?

Accepted Answer

1

Answer

At 90°, the point on the unit circle is (0,1), so sin(90°) = 1.

Question 2

Which angle has a cosine value of 0?

Accepted Answer

90°

Answer

cos(90°) = 0 because the unit circle point at 90° has x-coordinate 0.

Question 3

What is the period of y = sin(2x)?

Accepted Answer

π

Answer

The period of sin(Bx) is 2π/B = 2π/2 = π.

Question 4

In triangle ABC, if angle A = 60°, side a = 6, and side b = 4, what law would you use to find angle B?

Accepted Answer

Law of Sines

Answer

The Law of Sines (a/sinA = b/sinB) is used when two sides and the opposite angle are known.

Question 5

What is cos(60°)?

Accepted Answer

1/2

Answer

cos(60°) = 1/2 from the 30-60-90 triangle ratios.

UTMA - University of Toronto Math Assessment Practice Test