Question

Math

Posted 6 months ago

```
The following are all angle measures (in radians, rounded to the nearest hundredth) whose sine is 0.98 .
Which is the principal value of $\arcsin (0.98)$ ?
Choose 1 answer:
(A) -11.20
(B) -4.91
(C) 1.37
(D) 7.65
```

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Answer from Sia

Posted 6 months ago

Solution by Steps

step 2

The principal value of $\arcsin(0.98)$ is found to be $1.37046...$ radians (result in radians)

step 3

Rounding to the nearest hundredth, the principal value is $1.37$ radians

C

Key Concept

Principal Value of arcsin

Explanation

The principal value of the inverse sine function (arcsin) is the value in the range $[-\frac{\pi}{2}, \frac{\pi}{2}]$ that corresponds to a given sine value.

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