SOLUTION: Use a power reducing identity to rewrite the following expression below in terms containing only first powers of cosine. cos^2(x)sin^4(x) Please help me to understand this in the s

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Question 736851: Use a power reducing identity to rewrite the following expression below in terms containing only first powers of cosine. cos^2(x)sin^4(x) Please help me to understand this in the simplest way possible.
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
cos^2(x) = (1+cos(2x))/2 and sin^2(x) = (1-cos(2x))/2. sin^4(x) = (sin^2(x))^2


cos^2(x)sin^4(x)= cos^2(x)*(sin^2(x))^2 = (1+cos(2x))/2 * ((1-cos(2x))/2)^2