Question

Find sin–10.9563 to the nearest degree. a. 17° c. 28° b. 73° d. 13°

Answer 1

Answer: The value of
`sin^(-1)0.9563` in the nearest degree is 73°.

Explanation:

let
`\theta` be an angle,

For which,

`sin \theta = 0.9563`

⇒
`\theta= sin^(-1)(0.9563)`

⇒
`\theta=72.9990680037 \approx 73^(\circ)`

Thus,

The value of
`sin^(-1)0.9563` in the nearest degree is 73°.

⇒ Option b is correct.

Answer 2

`73\°`

Explanation:

Let

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

we know that

`sin(x)=0.9563`

Find the measure of angle x

`x=sin^(-1)(0.9563)=73\°` -----> using a scientific calculator