What is the reference angle in radians for 876°

Answer with explanation:

Reference Angle is the smallest Positive angle that terminal side makes with the  x axis.

→→If angle lies in first Quadrant,then that Angle is equal to reference Angle.

For, Example, Angle between Initial and terminal side =40°

Reference Angle =40°

→→If angle lies in Second Quadrant,then, [180°- that Angle] is equal to reference Angle.

For, Example, Angle between Initial and terminal side =140°

Reference Angle =180°-140°=40°

→→If angle lies in Third Quadrant,then, [That Angle -180°] is equal to reference Angle.

For, Example, Angle between Initial and terminal side =220°

Reference Angle =220°-180°=40°

→→If angle lies in Fourth Quadrant,then, [360° -that Angle ] is equal to reference Angle.

For, Example, Angle between Initial and terminal side =290°

Reference Angle =360° - 290°=70°

⇒⇒Given Angle = 876°

First we will check out in which Quadrant it lies.

→876°=2 ×360°+156°

As,360° is equal to a revolution.

Angle 876° ,is equal to 156°,which lies in Second Quadrant.

So, Reference Angle of 156° is

= 180 ° -156°

= 24°→Reference angle  for 876°

⇒⇒360° = 2 π Radian