Give 2 positive and 2 negative angles that are coterminal with each angle?
1. 30 degrees
2. 135 degreed
3. -93 degrees
To find angles that are coterminal with a given angle, we can add or subtract multiples of 360 degrees (or 2π radians) to it. Coterminal angles have the same initial and terminal sides.
For the positive angles coterminal with:
1. 30 degrees:
Adding 360 degrees to it, we get: 30 + 360 = 390 degrees
Adding another 360 degrees, we get: 390 + 360 = 750 degrees
2. 135 degrees:
Adding 360 degrees to it, we get: 135 + 360 = 495 degrees
Adding another 360 degrees, we get: 495 + 360 = 855 degrees
For the negative angles coterminal with:
3. -93 degrees:
Subtracting 360 degrees from it, we get: -93 - 360 = -453 degrees
Subtracting another 360 degrees, we get: -453 - 360 = -813 degrees
So, the positive angles coterminal with 30 degrees are 390 degrees and 750 degrees.
The positive angles coterminal with 135 degrees are 495 degrees and 855 degrees.
The negative angles coterminal with -93 degrees are -453 degrees and -813 degrees.