SOLUTION: Write the expression in terms of cos(x)... cos^4(x)-sin^4(x)+sin^2(x)

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Question 973695: Write the expression in terms of cos(x)... cos^4(x)-sin^4(x)+sin^2(x)

Answer by FrankM(1040) About Me  (Show Source):
You can put this solution on YOUR website!
cos%5E4%28x%29-sin%5E4%28x%29%2Bsin%5E2%28x%29
First, you should be very familiar with
%28a%5E2-b%5E2%29+=+%28a%2Bb%29%28a-b%29


But recognize that the first to term add to 1. So
%28%28cos%5E2%28x%29-sin%5E2%28x%29%29%29%2B%28sin%5E2%28x%29%29
and this reduces as well. to just
cos%5E2%28x%29
Graphing software can be useful to check your answer to this type of problem.