a)
3 (2 sin x - cos x) = 2 (sin x - 3 cos x)
6 sin x - 3 cos x = 2 sin x - 6 cos x
6 sin x - 2 sin x = -6 cox s + 3 cos x
4 sin x = -3 cos x
sin x -3
---- = ---
cos x 4
sin x/ cos x = tan x.
tan x = -3/4
b) for this you have multiple methods.
I do it this way.
x = tan-1 (3/4)
(neglecting the sign)
x = 36.9
tan x is negative, so it lies in the 2nd and the 4th quadrant . (check the attachment )
x1 = 180 - 36.9
= 143.1
x2 = 360 - 36.9
= 323.1
Given domain is 0 to 360 so your two values are 143.1 and 323.1
Wait, now I typed all of it, is it Q.11 or Q1. ii) ?
-.-