To simplify this expression, we first need to remember the trigonometric identities:
cos^2(x) + sin^2(x) = 1sin^2(x) = 1 - cos^2(x)
Now, let's substitute the second identity into the expression: cos^2 x - sin^2 x + sin^2 x = 0 cos^2 x - (sin^2 x) + sin^2 x = 0 cos^2 x - (1 - cos^2 x) + 1 - cos^2 x = 0 cos^2 x - 1 + cos^2 x + 1 - cos^2 x = 0 0 = 0
To simplify this expression, we first need to remember the trigonometric identities:
cos^2(x) + sin^2(x) = 1sin^2(x) = 1 - cos^2(x)Now, let's substitute the second identity into the expression:
cos^2 x - sin^2 x + sin^2 x = 0
cos^2 x - (sin^2 x) + sin^2 x = 0
cos^2 x - (1 - cos^2 x) + 1 - cos^2 x = 0
cos^2 x - 1 + cos^2 x + 1 - cos^2 x = 0
0 = 0
Therefore, the expression simplifies to 0 = 0.