Question

To the nearest whole degree, what angle measure has a sine of 0.9123

Answer 1

66° has a sine of 0.9123.

Explanation:

We are given value of sine trigonometric ratio = 0.9123.

We need to find the angle in degrees whose measure has a sine of 0.9123.

So, we need to find the value of
`sin^(-1)(0.9123)`.

On plugging
`sin^(-1)(0.9123)` in calculator, we get

65.82°.

Now, we need to round it to the nearest whole degree.

Therefore, 65.82°≈ 66°.

Therefore, 66° has a sine of 0.9123.