Math CentralQuandaries & Queries


Question from Jamie, a student:

Hi. I'm am having trouble with a problem on my math homework. I need help rewriting the expression in terms of cosine to the first degree.

Hi Jamie.

The multiple angle formulas help. First I know that

sin(2t) = 2 sin(t) cos(t)


sin4(x) cos2(x) = = sin2(x) [sin(x)cos(x)]21/4 sin2(x) sin2(2x)

Now use the fact that

cos(2t) = cos2(t) - sin2(t) = 1 - 2 sin2(t)

I hope this helps,

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