Question

How do you find the angle between 0 and 2pi radians and another angle between -2pi and 0 radians that are coterminal with 945 degrees?

Answer 1

The coterminal angles are
`color(white)("XXXX")` `(5pi)/4` and `-(3pi)/4`

Explanation:

`945^o`
`color(white)("XXXX")` `= 2*(360^o) + 225^o`

`color(white)("XXXX")` `= 3*(360^o)-135^o)`

Converting to radians:
`color(white)("XXXX")` `225^o = 225*pi/180 " radians " = 5/4pi " radians "`

`color(white)("XXXX")` `-135^o = 135*pi/180 " radians " = -3/4pi " radians"`