How to find cotangent 510 degree what is the steps

First, we know that 510 is more than 360 degrees, which means it can be reduced (the reason is because, for example, the cotangent of 720° is the same as the cotangent of 360°)

510-360=150

Then find the cotangent of 150°:
1/tan(150°)
1/√3

Simplify:
1/√3 = √3/3

Your answer is √3/3.