Question

Math

Posted 2 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 2 months ago

Solution by Steps

step 2

The asksia-ll calculator provides the principal value in radians: $1.37046...$ (result in radians)

step 3

The principal value is rounded to the nearest hundredth: $1.37$

1 Answer

C

Key Concept

Principal Value of arcsin(x)

Explanation

The principal value of $\arcsin(x)$ is the value of the inverse sine function that lies in the range $[-\frac{\pi}{2}, \frac{\pi}{2}]$. For $x = 0.98$, the principal value is approximately $1.37$ radians.

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