To find the value of [tex]\( x \)[/tex] using the inverse sine function, you start with the given equation:
[tex]\[ x = \sin^{-1}(a) \][/tex]
This equation states that [tex]\( x \)[/tex] is the angle whose sine is [tex]\( a \)[/tex]. The inverse sine function [tex]\(\sin^{-1}\)[/tex] (also known as arcsin) gives the angle whose sine is the provided value [tex]\( a \)[/tex].
Hence, the trigonometric equation you can use to find [tex]\( x \)[/tex] will be:
[tex]\[ x = \sin^{-1}(a) \][/tex]
This equation is already in the correct form to solve for [tex]\( x \)[/tex] once [tex]\( a \)[/tex] is known.
