For each of the following angles, find a coterminal angle with measure (theta symbol) such that 0 degrees is greater than or equal to omega symbol < 360 degrees.

a) -100 degrees.

I really do not understand how to work this problem and I need help.

1 answer

Generally angles are expressed as values between 0 and 360 degrees.

Since there are 360 degrees in a circle, adding or subtracting 360 from the value will not change the terminal point of the angle. It just means you have done an extra clockwise or counter-clockwise rotation about the origin.

So, -100° represents the same angle as all of the following:

... -820° -460° -100° 260° 620° ...

so, which of those values is between 0° and 360°?