Question

If y = 2 sin^2 (x +45) – sin 2x, then
dy
dx​

Answer 1

Step-by-step explanation:

$y = 2 { \sin}^{2} (x + 45) - \sin(2x) \\ \frac{dy}{dx} = 4 \sin(x + 45) \times \cos(x + 45) \times 45 - \cos(2x) \times 2 \\ = 160 \sin(x + 45) \cos(x + 45) - 2 \cos(2x) \\ = 2(80 \sin(x + 45) \cos(x + 45) - \cos(2x)$