Question

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Answer 1

1.
3sinθ + 5 = 2sinθ -3
3sinθ - 2sinθ = -3 - 5
sinθ = -8
(no real roots)

2.
cosθ - 5cosθ = 2
-4cosθ = 2
cosθ = -2/4
θ = cos-1(-2/4) = 120 degrees

3.
tanθ = 6 - 5tanθ
tanθ + 5tanθ = 6
6tanθ = 6
tanθ = 6/6 = 1
θ = tan-1(1) = 45 degrees