# precalculus, math homework help

#### Question 1(4 points) Find the exact value of the expression. Do not use a calculator.

sin – cos Question 1 options:

 B) C) 0

 D) 1

#### Question 2(4 points) Solve the equation on the interval 0 ≤ θ < 2π.

2 cos(2θ) = Question 2 options:

 B) C) D) #### Question 3(4 points) Find the exact value of the expression if θ = 30°. Do not use a calculator.

g(θ) = sin θ Find 10g(θ).

Question 3 options:

 B) 5 C) 5

 D) – #### Question 4(4 points) Find the exact value. Do not use a calculator.

sin 405°

Question 4 options:

 B) C) – D) #### Question 5(4 points) Find the exact value of the expression. Do not use a calculator.

sec 60° – cos 45°

Question 5 options:

 B) C) – D) #### Question 6(4 points) In the problem, t is a real number and P = (x, y) is the point on the unit circle that corresponds to t. Find the exact value of the indicated trigonometric function of t.

( , ) Find sin t.

Question 6 options:

 B) C) D) #### Question 7(4 points) Find the exact value of the expression if θ = 60°. Do not use a calculator.

f(θ) = sin θ Find 4f(θ).

Question 7 options:

 B) 2

 C) – D) 2 #### Question 8(4 points) Solve the equation. Give a general formula for all the solutions.

cos θ = – Question 8 options:

 B) C) D) #### Question 9(4 points) Solve the equation on the interval 0 ≤ θ < 2π.

sin2 θ + sin θ = 0

Question 9 options:

 B) C) D) #### Question 10(4 points) In the problem, t is a real number and P = (x, y) is the point on the unit circle that corresponds to t. Find the exact value of the indicated trigonometric function of t.

(- , ) Find cos t.

Question 10 options:

 B) – C) – D) #### Question 11(4 points) Find the exact value of the expression.

cos-1 Question 11 options:

 B) C) D) #### Question 12(4 points) In the problem, t is a real number and P = (x, y) is the point on the unit circle that corresponds to t. Find the exact value of the indicated trigonometric function of t.

( , ) Find sec t.

Question 12 options:

 B) C) D) #### Question 13(4 points) Solve the equation. Give a general formula for all the solutions.

sin θ = 1

Question 13 options:

 B) {θ|θ = π + 2kπ}

 C) D) {θ|θ = 0 + 2kπ}

#### Question 14(4 points) Solve the equation on the interval 0 ≤ θ < 2π.

4 cos2x – 3 = 0

Question 14 options:

 B) C) D) #### Question 15(4 points) Find the exact value of the expression.

cos-1 Question 15 options:

 B) C) D) 