To find the value of [tex]\( x \)[/tex] in a trigonometric expression, we can use the inverse sine function, also known as arcsine. The expression involves solving for [tex]\( x \)[/tex] in the equation [tex]\( \sin(x) = a \)[/tex].
Given that [tex]\( a = 0.5 \)[/tex], we know that [tex]\( \sin(x) = 0.5 \)[/tex].
To find [tex]\( x \)[/tex], we apply the inverse sine function:
[tex]\[ x = \sin^{-1}(0.5) \][/tex]
By evaluating this, we get:
[tex]\[ x = 0.5235987755982989 \][/tex]
So, the correct trigonometric expression to find the value of [tex]\( x \)[/tex] is:
[tex]\[ x = \sin^{-1}(0.5) \][/tex]
Therefore, replacing the variables in the given formula, we get:
[tex]\[ x = \sin^{-1}(0.5) \][/tex]
