Convert each of the following angles, giving your answers in the form specified.
(i) 37.5∘ to radians, leaving the answer in exact form involving π.
(ii) −210∘ to radians, simplifying the sign if necessary.
(iii) 825∘ to radians, expressing the result as a multiple of π.
(iv) 127π radians to degrees.
(v) For each of the above four angles, state in which quadrant its terminal arm lies (take the principal value between 0 and 2π radians).