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How to simplify these expressions (trigonometry)?

+1 vote

1. sin^2 theta x cos theta + cos^3 theta = ?
2. cos^2 theta - sin^2 theta x cos^2 theta = ?

asked Jan 22, 2013 in TRIGONOMETRY by linda Scholar
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1 Answer

+1 vote

1. sin^2 theta x cos theta + cos^3 theta = ?

=costheta(sin^2 theta+cos^2 theta)

Where sin^2 theta+cos^2 theta=1

=costheta


2. cos^2 theta - sin^2 theta x cos^2 theta = ?

=cos^2 theta(1-sin^2 theta)

1-sin^2 theta=cos^2 theta

=cos^2 theta*cos^2 theta

=cos^4 theta

 

answered Jan 22, 2013 by bradely Mentor

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