Answer:
Answer:
A. 2 sinx cosx - 1 + 2 sin^2 x.
Step-by-step explanation:
sin2x = 2 sinx cosx
cos2x = cos^2x - sin^2x
So sin2x - cos2x = 2 sinx cosx - ( cos^2x - sin^2x)
But cos^2 x = 1 - sin^2 x, so we have:
2 sinx cosx - (1 - sin^2 x - sin^2x)
= 2 sinx cosx - 1 + 2 sin^2 x.
