Calculate the measure of an angle in standard position whose terminal ray intersects the unit circle at (-0.59, 0.81 . Round the answer to the nearest degree.

Question

A) 100 degrees

B) 234 degrees

C) 126 degrees

D) 54 degrees

Answer 1

Locate the point approximately on the unit circle, as suggested. Make a triangle by connecting this point straight down to the negative x-axis. tan θ = 0.81/(-0.59), θ = tan^-1 (-1.37) = -54° from the calculator, but add 180° (the period of the tan function) to put it in quadrant II: θ = 126°.