# 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)