Section 9.1: Verifying Trigonometric Identities

What is the identity for sin^2(θ) + cos^2(θ)?

• 1

• 0

• cos(θ)

• sin(θ)

Which function is an even function?

• csc(θ)

• sin(θ)

• tan(θ)

• cos(θ)

What is the result of sec^2(θ) - tan^2(θ)?

• tan(θ)

• cos(θ)

• sin(θ)

• 1

Which of the following is a Pythagorean identity?

• 1 + tan^2(θ) = sec^2(θ)

• sin^2(θ) - cos^2(θ) = 1

• tan(θ) = sin(θ)/cos(θ)

• sin(θ) = 1/csc(θ)

Which trigonometric function is odd?

• cot(θ)

• sec(θ)

• sin(θ)

• cos(θ)

What is the quotient identity for cot(θ)?

• sin(θ)/cos(θ)

• sin(θ)/sec(θ)

• cos(θ)/sin(θ)

• 1/tan(θ)

Which identity represents the reciprocal relationship of cosine?

• sec(θ) = 1/cos(θ)

• tan(θ) = 1/cot(θ)

• cos(θ) = 1/sec(θ)

• sin(θ) = 1/csc(θ)

What does the identity cos^2(θ) + sin^2(θ) = 1 describe?

• Quotient identity

• Reciprocal identity

• Pythagorean identity

• Even-odd identity

Which function is not undefined at θ = π/2?

• csc(θ)

• tan(θ)

• cot(θ)

• sec(θ)

What is the result of simplifying sec(θ)tan(θ) using trigonometric identities?

• sin^2(θ)/cos(θ)

• sin(θ)/cos^2(θ)

• cos(θ)

• sin(θ)