Answer:
the correct choice is marked
Step-by-step 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)
