How do you simplify the expression 1-cos^2theta?

1 Answer
Jim G.
Aug 26, 2016

sin^2theta

Explanation:

Using the color(blue)"trigonometric identity"

color(red)(|bar(ul(color(white)(a/a)color(black)(sin^2theta+cos^2theta=1)color(white)(a/a)|)))

subtract cos^2theta from both sides

rArrsin^2theta+cancel(cos^2theta)-cancel(cos^2theta)=1-cos^2theta

rArr1-cos^2theta=sin^2theta

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