Question

solve

(root3-1)cosx+(root3+!)sinx=2

Answer 1

$1) \: ( \sqrt{3} - 1) \cos(x) + ( \sqrt{3} + 1) \sin(x) \: \\ = 2 \\ \frac{( \sqrt{3} - 1) }{2 \sqrt{2} } \cos(x) + \frac{( \sqrt{3} + 1)}{2 \sqrt{2} } \sin(x) = \frac{1}{ \sqrt{2} } \\ \\ \sin(15 + x) = \sin(45)$


3) x +15° * π/180° = nπ+(-1)^n π/4
x + π/12 = nπ +(-1)^n π/4