UTMA Trigonometry

Question 1

What is sin(30°)?

Accepted Answer

1/2

Answer

sin(30°) = 1/2 is a standard trigonometric value.

Question 2

In a right triangle with legs 3 and 4, what is cos of the angle adjacent to the leg of length 4?

Accepted Answer

4/5

Answer

The hypotenuse is 5; cosine = adjacent/hypotenuse = 4/5.

Question 3

What is the value of tan(45°)?

Accepted Answer

1

Answer

tan(45°) = sin(45°)/cos(45°) = (√2/2)/(√2/2) = 1.

Question 4

Which trigonometric function equals the reciprocal of cosine?

Accepted Answer

secant

Answer

sec(θ) = 1/cos(θ) by definition.

Question 5

What is sin²(θ) + cos²(θ)?

Accepted Answer

1

Answer

The Pythagorean identity states sin²(θ) + cos²(θ) = 1 for all θ.

UTMA - University of Toronto Math Assessment Practice Test