Question

How do you solve these questions?

1. Solve tan²θ = tanθ

2. Find the following and express your answer in polar form.
(2 - j)(cos45° + j sin45°)

Answer 1

tan^2θ - tanθ = 0
tanθ ( tanθ - 1) = 0
tanθ =  0 or 1

θ =  0,180, 360 ,  45 ,  or 225    (  where  0 =< θ <= 360)