Question

Find a solution for the equation. Assume that all angles are acute angles.

tan(3 times theta+17)=cot(theta+7)

Answer 1

         tan(3θ + 17) = cot(θ + 7)
(3θ + 17) + (θ + 7) = 90
(3θ + θ) + (17 + 7) = 90
               4θ + 24 = 90
                     - 24  - 24
                        4θ = 66
                         4       4
                          θ = 16.5