Question

Please help with this review question.

Answer 1

the correct choice is marked

Explanation:

Expressing the difference over a common denominator, we have ...

(sec(θ)² -1)/sec(θ) = tan(θ)²cos(θ) = tan(θ)·(sin(θ)/cos(θ))·cos(θ)

= tan(θ)sin(θ)

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We have used the following identities:

• sec(θ)² -1 = tan(θ)²
• 1/sec(θ) = cos(θ)
• tan(θ) = sin(θ)/cos(θ)