Slope of the terminal ray problem

Question

An angle's initial ray points in the 3-o'clock direction and the terminal ray rotates in the CCW direction. Let θθ represent the varying angle measure (in radians).

1. If θ=0.75, what is the slope of the terminal ray?
2. Write a formula that expresses the varying slope of the terminal ray, mm, in terms of θ

Answer 1

theta = .75 radians = .75(180)/pi = about 43 degrees

slope = almost 1

slope = tangent of about 43 degrees = about 0.931596

slope = tan(theta)