Solve for x:
2 sin^2(x)-2 cos^2(x) = 1
Write 2 sin^2(x)-2 cos^2(x) = 1 in terms of sin(x) using the identity cos^2(x) = 1-sin^2(x):
4 sin^2(x)-2 = 1
Add 2 to both sides:
4 sin^2(x) = 3
Divide both sides by 4:
sin^2(x) = 3/4
Take the square root of both sides:
sin(x) = sqrt(3)/2 or sin(x) = -sqrt(3)/2
Take the inverse sine of x
x=Pi/3 or x=-Pi/3
CPhill: please verify this. Thanks.
