Corterminal angles

Question

Which three small angles are coterminal with 1200degrees? I found one at 120degrees

Answer 1

Each revolution around a circle (clockwise or counter-clockwise) will have a terminal side in the same location. So you can find coterminal angles by adding or subtracting multiples of 360 degrees.

In your example, 1200-360=840, and 840-360=480, and 480-360=120, and 120-360=-240, etc...

So 840 degrees, 480 degrees, 120 degrees, and negative 240 degrees are all coterminal with 1200 degrees.

There are also larger angles that are coterminal with these; simply add 360!

1200+360=1560, and 1560+360=1920, etc... That means 1560 degrees and 1920 degrees are also coterminal with 1200 degrees.