SOLUTION: Factor and simplify. {{{ sin^4(x)-cos^4(x) }}} Thank you friends

Algebra ->  Trigonometry-basics -> SOLUTION: Factor and simplify. {{{ sin^4(x)-cos^4(x) }}} Thank you friends      Log On


   

Question 1101571: Factor and simplify.
+sin%5E4%28x%29-cos%5E4%28x%29+
Thank you friends
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
+sin%5E4%28x%29-cos%5E4%28x%29+
= %28sin%5E2%28x%29-cos%5E2%28x%29%29%2A%28sin%5E2%28x%29%2Bcos%5E2%28x%29%29
= %28sin%5E2%28x%29-cos%5E2%28x%29%29
= -cos(2x)