Question

If Cosx + Sinx =√2 Sinx Then

Answer 1

Explanation:

cosx + sinx = (2)½ sinx

वर्ग करने पर

(cosx + sinx)² = 2sin²x

cos²x + sin²x + 2sinx*cosx = 2sin²x

1 + sin2x = 2sin²x

sin2x = 2sin²x - 1

sin2x = -(1 - 2sin²x)

sin2x = -cos2x

tan2x = -1

-tan2x = 1

-tan2x = tan45'

-2x = 45'

x = -22.5'