Explanation
Coterminal angles19 are angles in standard position (angles with the initial side on the positive x-axis) that have a common terminal side
for instantce
tne angle -30 and angle 330 are coterminal
so
Step 1
Let
now, draw the angel
remember that:
so, convert the angle ( from radians to degrees)
hence, 540 ° is the angle
Step 2
now, as we have an angle greater than 360 and smaller than 720
to find the cotermiinal angle, we need to subtract 360 from teh given angle,so
so, 180 ° is a positive angle less than 360 ° that is coterminal with 19 pi/6
finally, let's convert the answer into radians, so
therefore the answer is
I hope this helpsy ou