SOLUTION: Verify that each equation is an identity. tan(theta)sin2(theta)=2-2cos^2(theta)

Question 706384: Verify that each equation is an identity.
tan(theta)sin2(theta)=2-2cos^2(theta)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Verify that each equation is an identity.
tan(theta)sin2(theta)=2-2cos^2(theta)
**
tanxsin2x=2-2cos^2x
Start with left side:
tanxsin2x=(sinx/cosx)(2sinxcosx)
cosx cancels out
2sin^x
=2(1-cos^x)
=2-2cos^2x
verified: left side=right side
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