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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)\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...1.37046... (result in radians)
step 3
The principal value is rounded to the nearest hundredth: 1.371.37
1 Answer
C
Key Concept
Principal Value of arcsin(x)
Explanation
The principal value of arcsin(x)\arcsin(x) is the value of the inverse sine function that lies in the range [π2,π2][-\frac{\pi}{2}, \frac{\pi}{2}]. For x=0.98x = 0.98, the principal value is approximately 1.371.37 radians.

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