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
Q. 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
Find Principal Value: We need to find the principal value of arcsin(0.98), which is the inverse sine function value that lies in the range of −2π to 2π radians.
Use Calculator or Table: To find the principal value, we use a calculator or a table to find the arcsin(0.98). The arcsin function will return the angle in radians whose sine is 0.98.
Calculate arcsin(0.98): Using a calculator, we find that arcsin(0.98) is approximately 1.37 radians. This value is within the range of −2π to 2π radians, so it is the principal value.
Check Options: We check the given options to see which one matches our calculated value. The correct option is (C) 1.37.