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| Math Central | Quandaries & Queries |
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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)
so
sin4(x) cos2(x) = = sin2(x) [sin(x)cos(x)]2 = 1/4 sin2(x) sin2(2x)
Now use the fact that
cos(2t) = cos2(t) - sin2(t) = 1 - 2 sin2(t)
I hope this helps,
Harley
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