Question

Find the measures of two angles one positive and negative that are coterminal with pi/2

Answer 1

Answer: The required measures of two angles one positive and negative that are co-terminal with
`(\pi)/(2)` are
`-(3\pi)/(2)` and
`(5\pi)/(2).`

Step-by-step explanation: We are given to find measures of two angles one positive and negative that are co-terminal with
`(\pi)/(2).`

Let x and y represents the positive and negative co-terminal angles respectively.

We know that

the measures of any two co-terminal angles differ from each other by a multiple of
`2\pi.`

So, the values of x and y can be found as follows :

`x=(\pi)/(2)-2\pi=-(3\pi)/(4),\\\\\\y=(\pi)/(2)+2\pi=(5\pi)/(2).`

Thus, the required measures of two angles one positive and negative that are co-terminal with
`(\pi)/(2)` are
`-(3\pi)/(2)` and
`(5\pi)/(2).`