precalculus, math homework help

i need help to answer q in precalculus

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Question 1 (4 points)

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

sin – cos

Question 1 options:

	A)
	B)
	C) 0
	D) 1

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Question 2 (4 points)

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

2 cos(2θ) =

Question 2 options:

	A)
	B)
	C)
	D)

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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:

	A) –
	B) 5
	C) 5
	D) –

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Question 4 (4 points)

Find the exact value. Do not use a calculator.

sin 405°

Question 4 options:

	A) –
	B)
	C) –
	D)

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Question 5 (4 points)

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

sec 60° – cos 45°

Question 5 options:

	A)
	B)
	C) –
	D)

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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:

	A)
	B)
	C)
	D)

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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:

	A) –
	B) 2
	C) –
	D) 2

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Question 8 (4 points)

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

cos θ = –

Question 8 options:

	A)
	B)
	C)
	D)

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Question 9 (4 points)

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

sin² θ + sin θ = 0

Question 9 options:

	A)
	B)
	C)
	D)

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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:

	A) –
	B) –
	C) –
	D)

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Question 11 (4 points)

Find the exact value of the expression.

cos^-1

Question 11 options:

	A)
	B)
	C)
	D)

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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:

	A)
	B)
	C)
	D)

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Question 13 (4 points)

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

sin θ = 1

Question 13 options:

	A)
	B) {θ|θ = π + 2kπ}
	C)
	D) {θ|θ = 0 + 2kπ}

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Question 14 (4 points)

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

4 cos²x – 3 = 0

Question 14 options:

	A)
	B)
	C)
	D)

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Question 15 (4 points)

Find the exact value of the expression.

cos^-1

Question 15 options:

	A)
	B)
	C)
	D)

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