2 answers:
Answer:
<u>Use properties:</u>
- cos(-θ) = cosθ
- cos(θ + π) = - cosθ
- sin²θ + cos²θ = 1
<u>Solution:</u>
- cosθ/(1 - sinθ) - (-cosθ)/(1 + sinθ) =
- cosθ([1/(a- sinθ) + 1/(1 + sinθ)] =
- cosθ[(1 + sinθ + 1 - sinθ)/(1 - sin²θ)] =
- cosθ(2/cos²θ) =
- 2/cosθ
Proved
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