Prove the identity.

label Mathematics
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(cosx) / 1 + sinx

(1-sinx) / cos x 

Jan 25th, 2015

Multiply  the top and bottom by 1+sinx, you get: 

cosx(1+sinx) / (1-sinx)(1+sinx) 

The denominator using (a+b) (a-b)=a^2-b^2 

what you have now is 

cosx(1+sinx) / 1-sin^x 

You know that 1-sin^x is equal to cos^x 

so know you have 

cosx(1+sinx) / cos^x 

get rid of the cosx on top by simplifying and the cos^x so that you're left with 

(1+sinx) / cos x 

Therefore cosx / 1- sinx = 1 + sinx / cos x

Jan 25th, 2015

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Jan 25th, 2015
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Jan 25th, 2015
Sep 20th, 2017
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