The following are all angle measures (in degrees, rounded to the nearest tenth) whose tangent is -44 . Which is the principal value of tan^(-1)(-44) ? Choose 1 answer: (A) -448.7^(@) (B) -268.7^(@) (c) -88.7^(@) (D) 91.3^(@)

Finding the Inverse Tangent Function: The principal value of an inverse tangent function, tan^(-1)(x), is the value of θ in the range -90° < θ < 90° that satisfies tan(θ) = x. Since we are looking for tan^(-1)(-44), we need to find the angle whose tangent is -44 and lies within the specified range.Using a Calculator or Computer: To find the principal value of tan^(-1)(-44), we can use a calculator or a computer to compute the inverse tangent of -44. Remember that the calculator should be set to degree mode since the answers are given in degrees.Calculating the Principal Value: Upon calculation, tan^(-1)(-44) gives an angle of approximately -88.7 degrees. This falls within the principal range of -90° < θ < 90°.Determining the Final Answer: Therefore, the principal value of tan^(-1)(-44) is -88.7 degrees, which corresponds to option (C).

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The following are all angle measures (in degrees, rounded to the nearest tenth) whose tangent is -44 .
Which is the principal value of
tan^(-1)(-44) ?
Choose 1 answer:
(A)
-448.7^(@)
(B)
-268.7^(@)
(c)
-88.7^(@)
(D)
91.3^(@)

The following are all angle measures (in degrees, rounded to the nearest tenth) whose tangent is $-44$ . $\newline$ Which is the principal value of $\tan ^{-1}(-44)$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $-448.7^{\circ}$ $\newline$ (B) $-268.7^{\circ}$ $\newline$ (C) $-88.7^{\circ}$ $\newline$ (D) $91.3^{\circ}$

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

-44

\newline

Which is the principal value of

\tan ^{-1}(-44)

\newline

Choose

1

answer:

\newline

(A)

-448.7^{\circ}

\newline

(B)

-268.7^{\circ}

\newline

(C)

-88.7^{\circ}

\newline

(D)

91.3^{\circ}

Finding the Inverse Tangent Function: The principal value of an inverse tangent function, $\tan^{-1}(x)$ , is the value of $\theta$ in the range -90° < \theta < 90° that satisfies $\tan(\theta) = x$ . Since we are looking for $\tan^{-1}(-44)$ , we need to find the angle whose tangent is $-44$ and lies within the specified range.
Using a Calculator or Computer: To find the principal value of $\tan^{-1}(-44)$ , we can use a calculator or a computer to compute the inverse tangent of $-44$ . Remember that the calculator should be set to degree mode since the answers are given in degrees.
Calculating the Principal Value: Upon calculation, $\tan^{-1}(-44)$ gives an angle of approximately $-88.7$ degrees. This falls within the principal range of -90° < \theta < 90°.
Determining the Final Answer: Therefore, the principal value of $\tan^{-1}(-44)$ is $-88.7$ degrees, which corresponds to option $(C)$ .