Math  /  Trigonometry

Question1. Give the standard position angle in degrees, which has a terminal arm that passes through the point (0.9397,0.342)(-0.9397,-0.342) which lies on the unit circle.

Studdy Solution
Calculate the standard position angle. Since the point is in the third quadrant, the standard position angle is:
180+θref 180^\circ + \theta_{\text{ref}}
Calculate:
θ=180+20=200 \theta = 180^\circ + 20^\circ = 200^\circ
The standard position angle in degrees is:
200 \boxed{200^\circ}

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