Consider the three angles α=123.75o, β=−2.4 rad and γ=429π rad.
(i) Express each angle in radians, simplifying to an exact multiple of π wherever possible.
(ii) Reduce each radian measure obtained in part (i) to its principal value lying in the interval [0,2π).
(iii) Convert each principal value from part (ii) back to degrees, rounding to one decimal place where necessary.
(iv) For each principal value, write the exact coordinates of the corresponding point on the unit circle, specifying cosθ and sinθ. (You may leave cos and sin of non-special angles in functional form.)