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

a. - 225°

b. - 45°

c. 135°

d. 225°

e. 315°

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.