SOLUTION: Use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine, as in Example 4. {{{cos^2(x)sin^4(x)}}}

Algebra ->  Trigonometry-basics -> SOLUTION: Use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine, as in Example 4. {{{cos^2(x)sin^4(x)}}}       Log On


   

Question 1101356: Use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine, as in Example 4.
cos%5E2%28x%29sin%5E4%28x%29
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
  
cos%5E2%28x%29sin%5E4%28x%29

The formulas we use are

cos%5E2%28theta%29%22%22=%22%22expr%281%2F2%29%281%2Bcos%282theta%29%5E%22%22%29

sin%5E2%28theta%29%22%22=%22%22expr%281%2F2%29%281-cos%282theta%29%5E%22%22%29

-----------------------------

cos%5E2%28x%29sin%5E4%28x%29

expr%281%2F2%29%281%2Bcos%282x%29%5E%22%22%29%28sin%5E2%28x%29%5E%22%22%29%5E2



expr%281%2F2%29%281%2Bcos%282x%29%5E%22%22%29expr%281%2F4%29%281-cos%282x%29%5E%22%22%29%5E2

expr%281%2F8%29%281%2Bcos%282x%29%5E%22%22%29%281-2cos%282x%29%2Bcos%5E2%282x%29%29









expr%281%2F16%29%281%2Bcos%282x%29%5E%22%22%29%283-4cos%282x%29%2Bcos%284x%29%5E%22%22%29



expr%281%2F16%29%283-cos%282x%29%2Bcos%284x%29-4cos%5E2%282x%29%2Bcos%282x%29cos%284x%29%29







expr%281%2F16%29%281-cos%282x%29%5E%22%22-cos%284x%29%2Bcos%282x%29cos%284x%29%29

Edwin