Question

write an expression describing all the angles that are coterminal with 358°. (please use the variable in your answer. give your answer in degrees, but do not include a degree symbol in your answer.)

Answer 1

Answer: 358 + 360n where n is an integer

Reason:

Coterminal angles point in the same direction.

We add on multiples of 360 to rotate a full circle, and we get back to the same direction that 358 degrees points in (almost directly to the east). The variable n is an integer {..., -3, -2, -1, 0, 1, 2, 3, ...}

If n is negative, then we subtract off multiples of 360.