A factor hidden in a sum of squares

A factor hidden in a sum of squares

5 marks
TGM Original
Prove that ((1+sin x)2+cos2x)/(cos x(1+sin x))=2sec x, wherever both sides are defined. State the restrictions on x.

Solution:

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

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