How do you find an angle with a positive measure and an angle with a negative measure that are coterminal with #50^circ#?

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Answer 1 · 2018-02-17T09:32:29

#A_c = A + k xx 360^o#
#A_c = 50 + 360^o = 410^o# (or #50^o#) and
#A_c = 50 - 360^o = -310^o#

Coterminal angles #A_c# to angle A may be obtained by adding or subtracting #k xx 360# degrees or #k xx (2 Pi)#. Hence,

#A_c = A + k xx 360^o# if A is given in degrees.

or

#A_c = A + k xx (2pi)# if A is given in radians.

where k is any negative or positive integer.