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).

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).

amistre64 · Answer

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

amistre64 · Answer

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