Question

A function is defined by g(x)= 3-2sinx, for 0 <=x<=A, where A is constant. State the largest value of A for which g has an inverse.

Answer 1

Why is it 90 degrees? Is it because when we restrict the graph then ...?

Answer 2

this is the function graph. The inverse function would be putting this graph in vertical. So you can notice that if i restrict it to 0<x<90 it will be a function. But if i don't it will have more tan value y for same x. So it will not be a function