Question

tg x + 4 = 3 ctg ($pi$ - x)

Answer 1

tg x + 4 = - 3 ctg x | *sin x * cos x

(sin x/ cos x) *sin x * cos x +4sin x * cos x +3 (cos x/ sin x) *sin x * cos x = 0
sin^2 (x) + 4sin x * cos x +3 cos^2 (x) = 0

sin^2 (x) + 4sin x * cos x +3 (1-sin^2 (x)) = 0

-2 sin^2 (x) + 4sin x 8 cos x + 3 = 0