identify which quadrant contains the terminal side of an angle in standard position with each given degree measure with 75 degrees, 120 degrees, -30 degrees, and -200 degrees

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Answer:

75° quadrant I

120°  quadrant II

–30° quadrant IV

–200° quadrant II    

Step-by-step explanation:

just did it and these were the answers

For each of the given angles, the terminal side is on the:

  • 75° ⇒ first quadrant.
  • 120° ⇒ second quadrant.
  • -30° ⇒ fourth quadrant.
  • -200° ⇒ second quadrant.

In which quadrant are the terminal sides located?

We know that:

  • For the range 0° < θ < 90°, the terminal side is on the first quadrant.
  • For the range 90° < θ < 180°, the terminal side is on the second quadrant.
  • For the range 180° < θ < 270°, the terminal side is on the third quadrant.
  • For the range 270° < θ < 360°, the terminal side is on the first quadrant.

Such that if we add 360°*n to the angles, the pattern is repeated.

Then:

For the angle 75°, the terminal side is on the first quadrant.

For the angle 120°, the terminal side is on the second quadrant.

For the angle -30°, the terminal side is on the fourth quadrant, because:

-30° = 330° - 1*360°

For the angle -200°, the terminal side is on the second quadrant.

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