Question

-120 degrees is equal to what?

Answer 1

-120 degrees equals 240 degrees by unit circle. Also we can find it by knowing that a circle is 360° and just adding -120° + 360° and that equals 240 degrees.

ALSO,

`( - 120) * (\pi)/(180) = - (2\pi)/(3)`
So, -120° is -2pi/3 radians, so we can do the same thing, but just in a relation to radians, so we know 360° equals 2pi, but if we don't we can find it


`( 360) * (\pi)/(180) = {2\pi}`
So,

`- (2\pi)/(3) + 2\pi = (4\pi)/(3)`
Now,

`(4\pi)/(3) * ( (180)/(\pi) ) also \: equals \: 240`


Answer:


`(4\pi)/(3) \: or \: 240 \: degrees`

Answer 2

It's not clear what you're looking for.

If you want to find an angle whose terminal point involves a positive angle, then -120 degrees is equivalent to +240 degrees.

If you want the equivalent angle in radians, then:

-120 deg -π rad

-------------- = --------------- = - 2π/3 rad, or + 4π/3 rad.

1 180 deg