Question

if a=537 degrees, find two coterminal angles, where one angie is between 0 and 360 degrees, and the other between 0 and -360 degrees

Answer 1

To find two coterminal angles with a = 537 degrees, subtract 360 degrees to get the angle between 0 and 360 degrees and add 360 degrees to get the angle between 0 and -360 degrees.

Step-by-step explanation:

To find two coterminal angles with a = 537 degrees, one between 0 and 360 degrees and the other between 0 and -360 degrees, we can add or subtract multiples of 360 degrees to the given angle.

For the angle between 0 and 360 degrees, we can subtract 360 degrees from a = 537 degrees. So, the coterminal angle is a - 360 = 537 - 360 = 177 degrees.

For the angle between 0 and -360 degrees, we can add 360 degrees to a = 537 degrees. So, the coterminal angle is a + 360 = 537 + 360 = 897 degrees.