A fraction identity used to solve

A fraction identity used to solve

6 marks
TGM Original
Prove that cos x1-sin x- cos x1+sin x=2tan x, where cos x 0. Hence solve cos x1-sin x- cos x1+sin x=2 for 0 <= x<2pi.

Solution:

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Answer:Identity proved; \(x=\frac\pi4,\frac{5\pi}4\).

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