Question

Asked Dec 6, 2019

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Verify the identity. (Simplify at each step.)

5 sin^{2 }x − 5 sin^{4} x = 5 cos^{2} x − 5 cos^{4} x

5 sin^{2 }x − 5 sin^{4} x = 5 sin^{2} x (1 - _____ )

= (5 - 5 cos^{2} x) (cos^{2} x)

= 5 cos^{2 }x − 5 cos^{4} x

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Step 1

Given identity is,

5 sin2 *x* − 5 sin4 *x* = 5 cos2 *x* − 5 cos4 *x*

Consider,

5 sin2 *x* − 5 sin4 *x*

Take out 5 sin2 *x* in common and we get

= 5 sin2&nb...

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