A sum with conjugate denominators

A sum with conjugate denominators

4 marks
TGM Original
Prove that 11-sin x+ 11+sin x=2sec2x, wherever both sides are defined. State the restrictions on x.

Solution:

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Answer:\(\frac1{1-\sin x}+\frac1{1+\sin x}=2\sec^2x\), for \(\cos x\ne0\).

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