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 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.⚹◊What is the relationship between arcsin and sin in trigonometry?⍭ Generate me a similar question◊

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