An angle's initial ray points in the 3-o'clock direction and its terminal ray rotates ccw. let θ represent the angle's varying measure (in radians).

if θ=0.5θ=0.5 what is the slope of the terminal ray?
if θ=1.78θ=1.78, what is the slope of the terminal ray?

write an expression (in terms of θθ) that represents the varying slope of the terminal ray.

0.546 , -4.71

Step-by-step explanation:

Given:

An angle's initial ray points in the 3-o'clock direction and its terminal ray rotates counter -clock wise.

Here, Slope = tan\theta

If θ = 0.5

Then, Slope = tan(θ) = tan(0.5) = 0.546

If θ = 1.78

Then, Slope = tan(θ) = tan(1.78) = - 4.71

The expression (in terms of θ) that represents the varying slope of the terminal ray.

Slope = m = tanθ, where θ is the varying angle

i'm not sure i quite understand, could you provide more information?

answer: the answer is 127 degrees