Prove that: (1 - sin Θ) / cos Θ = cos Θ / (1 + sin Θ)

Answer:


As  you can already guess from the figure, the first step to solve such problems where you have completely different LHS and RHS. You need to rationalize the denominator and prove. Then we have the following identity:
Cos^2 x = 1 - sin^2 x

And yeah, this much explanation is ok. Now, check the figure with the answer to visualize the process!

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