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Write one trigonometric equation that can be used to find the value of [tex]\( x \)[/tex] by replacing the variable [tex]\( a \)[/tex] with the correct value.

[tex]\[ x = \sin^{-1}(a) \][/tex]

Sagot :

GinnyAnsweridn
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.
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