Mathematics

Problem

Convert each of the following angles, giving your answers in the form specified. a. (i)

37.5^\circ

to radians, leaving the answer in exact form involving

\pi

. b. (ii)

-210^\circ

to radians, simplifying the sign if necessary. c. (iii)

825^\circ

to radians, expressing the result as a multiple of

\pi

. d. (iv)

\frac{7\pi}{12}

radians to degrees. e. (v) For each of the above four angles, state in which quadrant its terminal arm lies (take the principal value between

0

and

2\pi

radians).