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?

1 Answer
Alan P.
Aug 12, 2015

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"#

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