Show that the equation
3(2 sin x − cos x) = 2(sin x − 3 cos x)
can be written in the fom tan x = −3/4
(ii) Solve the equation 3(2 sin x − cos x) = 2(sin x − 3 cos x), for 0◦ ≤ x ≤ 360◦.

Question

Show that the equation
3(2 sin x − cos x) = 2(sin x − 3 cos x)
can be written in the fom tan x = −3/4
(ii) Solve the equation 3(2 sin x − cos x) = 2(sin x − 3 cos x), for 0◦ ≤ x ≤ 360◦.

anonymous · Answer

bring all the sines to one side and all the cosines to the other side.
Then you want to factor all the sines and cosines and divide.
Remember how sin/cos = tan? You have to use that

anonymous · Answer

For the second part you simply find the inverse tangent of -3/4 ... now because you want all the values in the range 0 to 360 which are negative, you will take the value x (which you just found) and also calculate
180 - x , 360 - x