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

Question

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

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ asksia-ll calculator input: arcsin(0.98) ‖ ‖ 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.⚹◊What is the general formula for finding the principal value of $\arcsin(x)$?⍭ Generate me a similar question◊

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