Question

An angle with an initial ray pointing in the 3-o'clock direction measures θ radians (where 0 ≤ θ < 2π). The terminal point is located at (2.02, -2.22). What is the value of θ?

Answer 1

The value of θ is approximately -0.86 radians.

Step-by-step explanation:

The angle can be determined using trigonometry. Since the terminal point is located at (2.02, -2.22), we can find the angle by calculating the inverse tangent of the y-coordinate divided by the x-coordinate:

θ = tan-1(-2.22/2.02)

θ = -49.35°

The value of θ is -49.35° or approximately -0.86 radians.