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olya-2409 [2.1K]
3 years ago
15

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

Mathematics
1 answer:
kakasveta [241]3 years ago
8 0

Answer:

<h3>66° has a sine of 0.9123.</h3>

Step-by-step 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°.

<h3>Therefore, 66° has a sine of 0.9123.</h3>
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The picture in the attached figure

we know that
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