##### i need help to answer q in precalculus

**Question 1** (4 points)

**Find the exact value of the expression. Do not use a calculator.**

**
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sin – cos

**Question 2** (4 points)

**Solve the equation on the interval 0 ≤ θ < 2π.**

2 cos(2θ) =

**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 4** (4 points)

**Find the exact value. Do not use a calculator.**

sin 405°

**Question 5** (4 points)

**Find the exact value of the expression. Do not use a calculator.**

sec 60° – cos 45°

**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 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 8** (4 points)

**Solve the equation. Give a general formula for all the solutions.**

cos θ = –

**Question 9** (4 points)

**Solve the equation on the interval 0 ≤ θ < 2π.**

sin^{2} θ + sin θ = 0

**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 11** (4 points)

**Find the exact value of the expression.**

cos^{-1}

**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 13** (4 points)

**Solve the equation. Give a general formula for all the solutions.**

sin θ = 1

**Question 14** (4 points)

**Solve the equation on the interval 0 ≤ θ < 2π.**

4 cos^{2}x – 3 = 0

**Question 15** (4 points)

**Find the exact value of the expression.**

cos^{-1}