How do you prove $cos^2theta/(1+sintheta)=1-sintheta$ ?

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Answer 1 · 2016-10-07T18:03:27

see below

$cos^2theta/(1+sin theta) = 1-sin theta$

Left Side : $=cos^2theta/(1+sin theta)$

$=(1-sin^2theta)/(1+sin theta)$

$=((1-sin theta)(1+sin theta))/(1+sin theta)$

$=((1-sin theta) (cancel (1+sin theta)))/(cancel(1+sin theta)$

$=1-sin theta$

$:.=$ Right Side

How do you prove cos^2theta/(1+sintheta)=1-sinthetacos^2theta/(1+sintheta)=1-sintheta?