Respuesta :

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From here, just make it inverse:

[tex] sin^{-1} ( \frac{4}{15}) = x[/tex]
[tex]x=15.46600995.....[/tex]

Answer:

x = 0.2699 or 15 .47°

Step-by-step explanation:

Given  : sin x = [tex]\frac{4}{15}[/tex].

To find : find  x.

Solution : We have given that

sin x = [tex]\frac{4}{15}[/tex].

Taking inverse of sin

[tex]sin^{-1} sin x = sin^{-1}(\frac{4}{15} )[/tex].

x = [tex]sin^{-1}(\frac{4}{15} )[/tex].

x = 0.2699 or 15 .47°

Therefore, x = 0.2699  or 15 .47°