document.write( "Question 1160399: Simplify: ((cos2θ+isinθ)^4*(cos3θ+isin3θ)^5)/(cos7θ+isin7θ)^3*(cosθ-isinθ) \n" ); document.write( "
Algebra.Com's Answer #783929 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
Did you make two typos?\r\n" );
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document.write( "((cos2θ+isinθ)^4*(cos3θ+isin3θ)^5)/(cos7θ+isin7θ)^3*(cosθ-isinθ)\r\n" );
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document.write( "I think you meant\r\n" );
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document.write( "((cos2θ+isin2θ)^4*(cos3θ+isin3θ)^5)/(cos7θ+isin7θ)^3*(cosθ+isinθ)\r\n" );
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document.write( "If you meant a \"2\" and a \"+\" in those two places then I can show that the \r\n" );
document.write( "answer is cos3θ+isin3θ.  Otherwise it's a complicated mess.\r\n" );
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document.write( "Edwin
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