Question

Name four angles between 0 and 360 degrees with a reference angle of 20 degrees Show work

Answer 1

20, 180 - 20, 180 + 20 and 360 - 20

i.e. 20°, 160°, 200° and 340°

Answer 2

Answer with explanation:

Reference Angle =20°

Angle Lies in First Quadrant.

⇒≡Reference Angle of 20°, which should lie between 0° and 360° can be evaluated by using the formula=360°n+20°, for n=0,1,2,3,4,....

So,First Reference angle of 20°=20°

Second reference angle of 20°=360°× 1+20°=380°

Third Reference angle of 20°=360°× 2+20°

=720°+20°

=740°

Fourth Reference angle of 20°=360°×3+20°

=1080°+20°

=1100°