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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

The following are all angle measures (in radians, rounded to the nearest hundredth) whose sine is 00.9898 .\newlineWhich is the principal value of arcsin(0.98)? \arcsin (0.98) ? \newlineChoose 11 answer:\newline(A) 11-11.2020\newline(B) 4-4.9191\newline(C) 1.37 \mathbf{1 . 3 7} \newline(D) 77.6565

Full solution

Q. The following are all angle measures (in radians, rounded to the nearest hundredth) whose sine is 00.9898 .\newlineWhich is the principal value of arcsin(0.98)? \arcsin (0.98) ? \newlineChoose 11 answer:\newline(A) 11-11.2020\newline(B) 4-4.9191\newline(C) 1.37 \mathbf{1 . 3 7} \newline(D) 77.6565
  1. Find Principal Value: We need to find the principal value of arcsin(0.98)\arcsin(0.98), which is the inverse sine function value that lies in the range of π2-\frac{\pi}{2} to π2\frac{\pi}{2} radians.
  2. Use Calculator or Table: To find the principal value, we use a calculator or a table to find the arcsin(0.98)\arcsin(0.98). The arcsin\arcsin function will return the angle in radians whose sine is 0.980.98.
  3. Calculate arcsin(0.98)\arcsin(0.98): Using a calculator, we find that arcsin(0.98)\arcsin(0.98) is approximately 1.371.37 radians. This value is within the range of π2-\frac{\pi}{2} to π2\frac{\pi}{2} radians, so it is the principal value.
  4. Check Options: We check the given options to see which one matches our calculated value. The correct option is (C) 1.371.37.

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