21-07-2016
Mathematics

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verify the identity: (1 -sinx) / cosx = cosx / (1 +sinx)

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konrad509 konrad509

21-07-2016

[tex]\dfrac{1-\sin x}{\cos x}=\dfrac{\cos x}{1+\sin x}\\ \cos^2 x=(1-\sin x)(1+\sin x)\\ \cos^2 x=1-\sin^2 x\\ \sin^2 x+\cos ^2 x=1[/tex]

It IS the identity.

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