The following are all angle measures (in radians, rounded to the nearest hundredth) whose tangent is 3.7. Which is the principal value of arctan(3.7)? Choose 1 answer: (A) -4.98 (B) -1.83 (C) 1.31 (D) 4.45

Find Principal Value: We need to find the principal value of the arctan(3.7), which is the inverse tangent function that returns an angle whose tangent is 3.7. The principal value is the unique value of the arctan function that lies in the interval (-π/2, π/2).Use Calculator: To find the principal value, we can use a scientific calculator or a computational tool that can compute inverse trigonometric functions. We input arctan(3.7) or tan^(-1)(3.7) to get the result in radians.Compute Result: After computing arctan(3.7), we get approximately 1.31 radians. This is within the interval (-π/2, π/2), so it is the principal value.

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Algebra 2

Write equations of circles in standard form using properties

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Q. The following are all angle measures (in radians, rounded to the nearest hundredth) whose tangent is

3

7

\newline

Which is the principal value of

\arctan (3.7) ?

\newline

Choose

1

answer:

\newline

(A)

-4

98

\newline

(B)

-1

83

\newline

(C)

1

31

\newline

(D)

4

45

Find Principal Value: We need to find the principal value of the $\arctan(3.7)$ , which is the inverse tangent function that returns an angle whose tangent is $3.7$ . The principal value is the unique value of the $\arctan$ function that lies in the interval $(-\pi/2, \pi/2)$ .
Use Calculator: To find the principal value, we can use a scientific calculator or a computational tool that can compute inverse trigonometric functions. We input $\text{arctan}(3.7)$ or $\tan^{-1}(3.7)$ to get the result in radians.
Compute Result: After computing $\arctan(3.7)$ , we get approximately $1.31$ radians. This is within the interval $(-\pi/2, \pi/2)$ , so it is the principal value.