Complex solutions of trigonometric equations and The roots of the equation sin(x) = a

Abstract

This article deals with complex solutions of trigonometric equations in an undefined interval. That is, we were taught that trigonometric functions, especially equations such as Sin(x), do not have a solution if they are not in the interval [-1;1]. But in this article, the range of values of Sin(x) is [-1; 1] accepts non-interval states and we will see that they have a complex form