SOLUTION: Simplify: ((cos2θ+isinθ)^4*(cos3θ+isin3θ)^5)/(cos7θ+isin7θ)^3*(cosθ-isinθ)

SOLUTION: Simplify: ((cos2θ+isinθ)^4(cos3θ+isin3θ)^5)/(cos7θ+isin7θ)^3(cosθ-isinθ)

Question 1160399: Simplify: ((cos2θ+isinθ)^4*(cos3θ+isin3θ)^5)/(cos7θ+isin7θ)^3*(cosθ-isinθ)
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!

Did you make two typos?

((cos2θ+isinθ)^4*(cos3θ+isin3θ)^5)/(cos7θ+isin7θ)^3*(cosθ-isinθ)

I think you meant

((cos2θ+isin2θ)^4*(cos3θ+isin3θ)^5)/(cos7θ+isin7θ)^3*(cosθ+isinθ)

If you meant a "2" and a "+" in those two places then I can show that the 
answer is cos3θ+isin3θ.  Otherwise it's a complicated mess.

Edwin

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