Question

Prove that 1-sin theta/cos theta =cos theta/1+ sin theta​

Answer 1

Answer:

See the attachment for the proof of this question

Answer 2

Step-by-step explanation:

We know that

Sin²θ + cos²θ=1

$\frac{1 - sinθ}{cosθ} = \frac{cosθ}{1 + sinθ} \\ lhs = \frac{1 - sinθ}{cosθ} \times \frac{1 + sinθ}{1 + sinθ} \\ = \frac{1 - {sin}^{2}{θ} }{cosθ(1 + sinθ)} = \frac{cos^{2} θ}{cosθ(1 + sinθ)} \\ \frac{cosθ}{(1 + sinθ)} = rhs$

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