How do you simplify the expression $cos^2x/(1+sinx)$ ?

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Answer 1 · 2016-09-27T09:35:14

$1-sin x$

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

Now we proceed to cancell $(1+sin x)$ in both numerator and denominator because they configure a so called avoidable discontinuity. So

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

How do you simplify the expression cos^2x/(1+sinx)cos^2x/(1+sinx)?