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# ​Prove that these are equal using Trig identities

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Prove that these are equal using Trig identities

Guest Oct 1, 2018
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Remember that $$\cos^2x+\sin^2x=1$$

Rearrange this in the form:  $$\sin^2x=1-\cos^2x$$

Substitute this into the left hand side (LHS) of your identity:

LHS:  $$1-\cos^2x-cos^2x$$

Simplify

LHS: $$1-2\cos^2x$$

So LHS = RHS

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Alan  Oct 2, 2018