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◦.

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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◦.

Mathematics
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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
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

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