Question

Find the measures of two angles, one positive and one negative, that are coterminal with pi divided by two. three pi divided by two; negative pi divided by two

pi divided by two + 360°; pi divided by two - 360°

five pi divided by two; negative pi divided by two

five pi divided by two; negative three pi divided by two

Answer 1

Explanation:

Alright, lets get started.

The given angle is
`(\pi )/(2)`

The positive co-terminal angle can be found by adding 2
`\pi`

The negative co-terminal angle can be found by subtracting 2
`\pi`

The positive co-terminal :
`(\pi)/(2)+2\pi`

The positive co-terminal :
`(5\pi )/(2)`

The negative co-terminal :
`(\pi )/(2)-2\pi`

The negative co-terminal :
`(-3\pi )/(2)`

So, the answer is
`(5\pi )/(2)` and
`(-3\pi )/(2)` : Answer

Hope it will help :)

Answer 2

Answer: second option, pi divided by two + 360°; pi divided by two - 360°

Because when you add 360 ° to or subtract 360° from an angle you are returning to the same initial point.