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Prove that

\(\frac{cos\,2x}{cosx\,-\,sinx}=cosx+sinx\)

cos2x/cosx - sinx = cosx + sinx

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Best answer

To Prove: \(\frac{cos2x}{cosx-sinx}\) = cosx + sinx

Taking LHS,

Using, (a2 – b2 ) = (a – b)(a + b)

= cos x + sin x

= RHS

∴ LHS = RHS

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