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How do you simplify $1 - {sin}^{2} (\frac{π}{2} - x)$ $1-sin^2(pi/2-x)$ ?

1 Answer

Mar 30, 2017

see below

Explanation:

Use the Co-function Property $sin (\frac{π}{2} - x) = cos x$ $color(red)(sin(pi/2-x)=cosx$

$1 - {sin}^{2} (\frac{π}{2} - x) = 1 - {cos}^{2} x = {sin}^{2} x$ $1-sin^2(pi/2-x)=color(blue)(1-cos^2x=sin^2x$

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