Question

Verify the identity. (Simplify at each step.) cos^3 x sin^7 x = (sin^7 x - sin^9 x)cos x cos^3 x sin^7 x = (sin^7 x)( )cos x = (sin^7 x)(1 - )cos x = (sin^7 x - sin^9 x)cos x Need Help? Read It

          Verify the identity. (Simplify at each step.)
cos^3 x sin^7 x = (sin^7 x - sin^9 x)cos x
cos^3 x sin^7 x = (sin^7 x)( )cos x
= (sin^7 x)(1 - )cos x
= (sin^7 x - sin^9 x)cos x
Need Help? Read It

Added by Mar-A S.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Kathleen Carty

03/13/2024

Step 1

First, we need to rewrite the given identity in a more readable format: $$\cos^3 x \sin x = (\sin^2 x - \sin^4 x)\cos x$$ Now, let's simplify the right side of the equation: $$\cos^3 x \sin x = (\sin^2 x - \sin^4 x)\cos x$$ We can factor out a $\sin^2 x$ from Show more…

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Verify the identity. (Simplify at each step.) cos^3 x sin^7 x = (sin^7 x - sin^9 x)cos x cos^3 x sin^7 x = (sin^7 x)( )cos x = (sin^7 x)(1 - )cos x = (sin^7 x - sin^9 x)cos x