Question

Find all possible values for θ if 0° < θ < 360° and tanθ = -1.

Answer 1

When tan theta = 1  theta = 45 degrees in the first quadrant.

When  its = -1  one value of theta is -45 degrees.

Also as the tangent is negative in the second quadrant theta can also be 135 degrees or - 225 degrees. 
in fourth quadrant  we have 315 degrees.
Its not  225 degrees because the tangent is positive in 3rd quadrant.

Correct answer is  a, b, c and e.