The following are all angle measures (in degrees, rounded to the nearest tenth) whose tangent is −16 .Which is the principal value of arctan(−16) ?Choose 1 answer:(A) −626.4∘(B) −446.4∘(C) −266.4∘(D) −86.4∘
Q. The following are all angle measures (in degrees, rounded to the nearest tenth) whose tangent is −16 .Which is the principal value of arctan(−16) ?Choose 1 answer:(A) −626.4∘(B) −446.4∘(C) −266.4∘(D) −86.4∘
Principal Value Range: The principal value of an arctan function is the value of the inverse tangent that lies between −90 degrees and 90 degrees.
Calculate arctan(−16): To find the principal value of arctan(−16), we can use a calculator or a computer to compute the inverse tangent of −16.
Use Calculator: Using a calculator, we find that arctan(−16) is approximately −86.4 degrees.
Verify Principal Value: The principal value of arctan(−16) must be in the range of −90 degrees to 90 degrees, and since −86.4 degrees falls within this range, it is the correct principal value.
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