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Proving Trigonometric Identities


Definition

To prove a trigonometric identity, you have to show that one side of the equation can be transformed into the other side.

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Problems Solved

Prove the identity $cos\left(5x\right)=16cos^5\left(x\right)-20cos^3\left(x\right)+5cos\left(x\right)$
Prove the identity $\cos^2B\left(\sec^2B-1\right)=\sin^2B$
Prove the identity $\cos^4\left(a\right)-\sin^4\left(a\right)=\cos2\left(a\right)$
Prove the identity $2cos^2-1=cos2x$
Prove the identity $3cos^2\left(x\right)-sin^2\left(x\right)=4cos^2\left(x\right)-1$
Prove the identity $2\cos\left(x\right)\cdot csc\left(2x\right)=csc\left(x\right)$
Prove the identity $cos\left(x+\frac{3\pi}{2}\right)=sinx$

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