SOLUTION: Rewrite the expression (cos^2x)/(1-sin x) so that there is no fraction.

Question 552512: Rewrite the expression (cos^2x)/(1-sin x) so that there is no fraction.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
multiply numerator and denominator by 1 + sin(x)
you get:
cos^2(x) * (1 + sin(x) divided by:
(1 - sin(x)) * (1 + sin(x))
this comes out to be:
cos^2(x) * (1 + sin(x) divided by:
(1 - sin^2(x))
since 1 - sin^2(x) = cos^2(x), then you get:
cos^2(x) * (1 + sin(x) divided by:
cos^2(x) which turns out to be:
1 + sin(x)
see the attached picture for hand drawn calculations:
$$$$$

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