PRE CALCULUS Pre-Calculus Trigonometry 3

Question 1

What is the reference angle for 315°?

Accepted Answer

45°

Answer

315° is in Quadrant IV; its reference angle is 360° − 315° = 45°.

Question 2

Which of the following is equivalent to sin(A + B)?

Accepted Answer

sinA cosB + cosA sinB

Answer

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

Question 3

What is the range of the function y = arctan(x)?

Accepted Answer

(−π/2, π/2)

Answer

The range of arctan(x) is the open interval (−π/2, π/2).

Question 4

Simplify: sin²θ + cos²θ + tan²θ − sec²θ

Accepted Answer

0

Answer

sin²θ + cos²θ = 1 and sec²θ − tan²θ = 1, so the expression equals 1 − 1 = 0.

Question 5

Convert 5π/6 radians to degrees.

Accepted Answer

150°

Answer

Multiply by 180°/π: (5π/6)(180/π) = 900/6 = 150°.

PRE CALCULUS Practice Test