Prove that: ( CosecΘ + 1) (1 - sinΘ) = cosΘ . cotΘ 

Answer:


Here, the first thing I did is expand the expression. Then using the identity:

Cosec x * sin x = 1

And the I changed, Cosec x = 1/ sin x

Also, cos^2 x = 1 - sin^2 x

Then also we used, cot x = cos x / sin x

And then we can solve the question by showing the LHS is equal to the RHS.

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