A sum of reciprocal quotients

A sum of reciprocal quotients

4 marks
TGM Original
Prove that (tan x+cot x)sin xcos x=1, wherever both sides are defined. State the restrictions on x.

Solution:

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Answer:\((\tan x+\cot x)\sin x\cos x=1\), for \(\sin x\ne0,\ \cos x\ne0\).

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