SOLUTION: (sin x)^(1/2)cos x -(sin x)^(5/2)*cos x simplify

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Question 732171: (sin x)^(1/2)cos x -(sin x)^(5/2)*cos x
simplify
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
(sin x)^(1/2)cos x -(sin x)^(5/2)*cos x
= (sin x)^(1/2)cos x* (1 -(sin x)^2)
= (sin x)^(1/2)cos x* (cos x)^2)
= (sin x)^(1/2)cos^3(x)
= sqrt%28sin%28x%29%29%2Acos%5E3%28x%29
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PS sin^2(x) is commonly used, not (sin x)^2