Respuesta :

Answer:

[tex]73\°[/tex]

Step-by-step explanation:

Let

x------> the measure of the angle

we know that

[tex]sin(x)=0.9563[/tex]

Find the measure of angle x

[tex]x=sin^{-1}(0.9563)=73\°[/tex] -----> using a scientific calculator

Answer:  The value of [tex]sin^{-1}0.9563[/tex] in the nearest degree is 73°.

Step-by-step explanation:

let [tex]\theta[/tex] be an angle,

For which,

[tex]sin \theta = 0.9563[/tex]

⇒ [tex]\theta= sin^{-1}(0.9563)[/tex]

⇒ [tex]\theta=72.9990680037 \approx 73^{\circ}[/tex]

Thus,

The value of [tex]sin^{-1}0.9563[/tex] in the nearest degree is 73°.

Option b is correct.

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