Question

Find the reference angle for 12pi/5

Answer 1

Answer:

72°

Step-by-step explanation:

To convert from degrees to radians, multiply the degrees by $\frac{\pi }{180}$.

To convert from radians to degrees, multiply the radians by $\frac{180}{\pi }$.

Right now you're in radians, so multiply it by $\frac{180}{\pi }$.

$\frac{12\pi }{5}* \frac{180}{\pi }$=$432$°.

Now we need to find the reference angle for 432°.

If you draw 432° starting from the right and going clockwise (because it is a positive angle, if it was negative you would go counterclockwise), it will make one full rotation, which is 360°, and you will end up in the 1st quadrant, 72° past 360°.

Depending on the quadrant you land in, there might be different operations to perform. Please check the attached image.

In this case, we're in the 1st quadrant so we can leave the angle as is.

The answer is 72°.