Consider the following three angular measures:
(a) 47∘15′, (b) 32π radians, (c) −40∘20′30′′.
a. (i) Convert each of the measures (a), (b) and (c) to decimal degrees correct to four decimal places.
b. (ii) Find the algebraic sum (a)+(b)+(c) and express your answer in decimal degrees correct to two decimal places.
c. (iii) Convert the result obtained in part (ii) to radians correct to four decimal places.