根号sin^α-sin^4α(π/2〈α〈π)化简

问题描述:

根号sin^α-sin^4α(π/2〈α〈π)化简
根号sin平方α-sin4次方α(π/2〈α〈π)化简··········

这个sin^2α-sin^4α?
sin^2α-sin^4α
=sin²α(1-sin²α)
=sin²αcos²α
=1/4(2sinαcosα)²
=1/4sin²2α