Question

A function g is defined by g:x→3−2sinx,for 0◦ ≤x≤A◦,where A is a constant.

(i) State the largest value of A for which g has an inverse.
(ii)When A has this value, obtain an expression, in terms of x, for g−1(x).

Answer 1

hmmm: g maps x onto 3-2sin(x) for all x from 0 to A degrees g(x) = 3-2sin(x) the inverse would have to be arcsin (3-x)/2, which only has a radian output between -pi and pi i believe. but this is just from memory