option d pi/6

Here the angle given is 5 pi /6 i.e. 150^{0}. θ = 5 pi /6 lies in the second quadrant so we would subtract it from 'pi' to get reference angle as:

θ _{r} = pi – 5 pi /6,θ _{r} = (6 pi – 5 pi) /6 = pi /6 or 30^{0}

4.

80° – 360° = –280°

80° + 360° = 440°

and

80°- 180° = -100°

80° + 180° = 260°

So option c -

reference

http://hotmath.com/hotmath_help/topics/coterminal-angles.html

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