SOLUTION: Okay, here on out, x will be used to represent theta. I need to rewrite this expression in terms of cos(x), and then simplify it. {{{ cos^4(x)-sin^4(x)+sin^2(x) }}} I tried

Algebra ->  Trigonometry-basics -> SOLUTION: Okay, here on out, x will be used to represent theta. I need to rewrite this expression in terms of cos(x), and then simplify it. {{{ cos^4(x)-sin^4(x)+sin^2(x) }}} I tried      Log On


   



Question 752899: Okay, here on out, x will be used to represent theta.
I need to rewrite this expression in terms of cos(x), and then simplify it.
+cos%5E4%28x%29-sin%5E4%28x%29%2Bsin%5E2%28x%29+
I tried going through the various Pythagorean identities as well as the negative-angle identities, but I'm really lost on how to solve this sort of problem.

Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!



which when simplified gives us...


%0D%0Acos%5E2%28x%29-sin%5E2%28x%29%2Bsin%5E2%28x%29=cos%5E2%28x%29%0D%0A


:)