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Pepsi [2]
3 years ago
14

-120 degrees is equal to what?

Mathematics
2 answers:
LuckyWell [14K]3 years ago
6 0
-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) \times  \frac{\pi}{180}  =  -  \frac{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) \times  \frac{\pi}{180}  = {2\pi}
So,
- \frac{2\pi}{3}  + 2\pi =  \frac{4\pi}{3}
Now,
\frac{4\pi}{3} \times  ( \frac{180}{\pi} ) also \: equals \: 240


Answer:

\frac{4\pi}{3} \: or \: 240 \: degrees


hichkok12 [17]3 years ago
4 0

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

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