mindy006 mindy006

18-07-2017
Mathematics

contestada

How do I prove that (1+sinx)/cosx=cos(-x)/(1+sine(-x))

How do I prove that 1sinxcosxcosx1sinex class=

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konrad509 konrad509

18-07-2017

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

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