use the steps to determine the exact value of sin(-135)°. identify the reference angle, θ. θ =
use the steps to determine the exact value of sin(-135)°. identify the reference angle, θ. θ =
Answer
Explanation:
Step1: Determine the quadrant
The angle (- 135^{\circ}) is equivalent to (360^{\circ}-135^{\circ}=225^{\circ}). The angle (225^{\circ}) lies in the third - quadrant.
Step2: Calculate the reference angle
For an angle (\alpha) in the third - quadrant, the reference angle (\theta) is given by (\alpha - 180^{\circ}). So, for (\alpha = 225^{\circ}), (\theta=225^{\circ}-180^{\circ}=45^{\circ}).
Answer:
(45)