Question

Find the reference angle for −504°.

Answer 1

Answer:

Reference angle of  −504° =  36°

Step-by-step explanation:

The given angle is −504°

Now, −504°  = 216° ( By adding 2 complete angles)

Now, as we know that

360°  completes one complete rotation in anti-clockwise direction and

-360°  completes one complete rotation in clockwise direction.  

Hence, 216° lies in the quadrant III.

So, now the reference angle of any angle x in a third quadrant = x - 180°

So, the reference angle of  216° =  216° - 180°  =  36°

Hence, the reference angle of  −504° =  36°