Prove that: (1 - sinΘ)/ cosΘ = 1/ (secΘ + tanΘ)

Answer:


For solving this question we took the RHS because it was a lot easier to prove this Trigonometric identity through rhs.

First we take the RHS.

Then we change the terms into sin and cos.
i.e. sec x = 1/ cos x
tan x = sin x/ cos x

Then we applied LCM  and using the various properties of ratios we solved the question!

Identity used: cos^2 x = 1 - sin^2 x

Therefore, we proved that the LHS is equal to the RHS.


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