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Does this need simplification?

[4(1+sin(2t))]cos{^3}(t) +

[-4cos(2t)]sin{^3}(t) +

[2T{^(-2)}(1

+sin(2t))sin(2t)]cos{^2}(t) +

[-2(1+sin(2t))]cos(t) +

[2cos(2t)]sin(t) +

[2T{^(-2)}(1

+sin(2t))cos(2t)]cos(t)sin(t) +

[-4T{^2}]cos{^2}(t)sin{^2}(t) +

[T{^(-2)}(1+cos{^2}(2t))] = 0

I don't need numerical solutions; I've got those already.

Can anyone suggest a more concise form in terms of only

circular functions of t, without the 2t terms ?

1 Answer

Relevance
  • 1 decade ago
    Favorite Answer

    Yes. You should use the double angle identities. See the link. Once everything is in terms of t you might be able to simplify further.

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

    cos(2t) = cos{^2}(t) - sin{^2}(t)

    Hope this helps!

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