Question

If tan θ = 3/4 , find θ (with solve how to get 37 degree)

Answer 1

Factor the equation:

tan(x)[1 - 2sin(x)] = 0

Using the zero product rule, set each of the factors equal to zero to solve

a) tan(x) = 0 which has the solution x = 0 or x = π on the interval given

b) 1 - 2sin(x) = 0 or sin(x) = 1/2 which has the solution x = π/6 and x = 5π/6 on the interval given

So the solutions are x = 0, π/6, 5π/6, and π