rewrite the expression in terms of the first power of cosine.
cos^3(x)sin^4(x)
To rewrite the expression cos^3(x)sin^4(x) in terms of the first power of cosine, we can make use of the trigonometric identity for sine and cosine squared:
sin^2(x) + cos^2(x) = 1
Rearranging this equation, we get:
sin^2(x) = 1 - cos^2(x)
Now let's substitute this into the given expression:
cos^3(x)sin^4(x) = cos^3(x)(sin^2(x))^2
Since sin^2(x) = 1 - cos^2(x), we can substitute this expression in our equation:
cos^3(x)(1 - cos^2(x))^2
Thus, the expression cos^3(x)sin^4(x) in terms of the first power of cosine is cos^3(x)(1 - cos^2(x))^2.