SOLUTION: How do I simplify ;1-2Sin^2X)^2+4Sin^2XCos^2X into a constant or basic trigonometric function?

Algebra ->  Trigonometry-basics -> SOLUTION: How do I simplify ;1-2Sin^2X)^2+4Sin^2XCos^2X into a constant or basic trigonometric function?      Log On


   

Question 693005: How do I simplify ;1-2Sin^2X)^2+4Sin^2XCos^2X into a constant or basic trigonometric function?
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
%281-2sin%5E2%28x%29%29%5E2%2B4sin%5E2%28x%29cos%5E2%28x%29
The expression in the parentheses is one of the variations of cos(2x):
cos%5E2%282x%29%2B4sin%5E2%28x%29cos%5E2%28x%29
The second term is the square of sin(2x):
cos%5E2%282x%29%2B%282sin%28x%29cos%28x%29%29%5E2
cos%5E2%282x%29%2Bsin%5E2%282x%29
which equals
1