The following are all angle measures (in degrees, rounded to the nearest tenth) whose tangent is 2.6. Which is the principal value of arctan(2.6) ? Choose 1 answer: (A) -111.0^(@) (B) 69.0^(@) (c) 249.0^(@) (D) 429.0^(@)

Definition of arctan function: The principal value of an arctan function is the value of the angle in the range of -90 degrees to 90 degrees that corresponds to a given tangent value.Calculate arctan(2.6): Calculate the principal value of arctan(2.6) using a calculator or trigonometric tables to find the angle whose tangent is 2.6. Principal value of arctan(2.6) ≈ 69.0 degrees (rounded to the nearest tenth).Check given options: Check the given options to find the one that matches the calculated principal value. (A) -111.0 degrees is not in the range of -90 to 90 degrees. (B) 69.0 degrees is in the range of -90 to 90 degrees and matches our calculated value. (C) 249.0 degrees is not in the range of -90 to 90 degrees. (D) 429.0 degrees is not in the range of -90 to 90 degrees.Select correct answer: Select the correct answer based on the principal value range and the calculated value. The correct answer is (B) 69.0 degrees.

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The following are all angle measures (in degrees, rounded to the nearest tenth) whose tangent is 2.6.
Which is the principal value of
arctan(2.6) ?
Choose 1 answer:
(A)
-111.0^(@)
(B)
69.0^(@)
(c)
249.0^(@)
(D)
429.0^(@)

The following are all angle measures (in degrees, rounded to the nearest tenth) whose tangent is $2$ . $6$ . $\newline$ Which is the principal value of $\arctan (2.6)$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $-111.0^{\circ}$ $\newline$ (B) $69.0^{\circ}$ $\newline$ (C) $249.0^{\circ}$ $\newline$ (D) $429.0^{\circ}$

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Algebra 1

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

2

6

\newline

Which is the principal value of

\arctan (2.6)

\newline

Choose

1

answer:

\newline

(A)

-111.0^{\circ}

\newline

(B)

69.0^{\circ}

\newline

(C)

249.0^{\circ}

\newline

(D)

429.0^{\circ}

Definition of arctan function: The principal value of the arctan function is the value of the angle in the range of $-90$ degrees to $90$ degrees that corresponds to a given tangent value.
Calculate $\arctan(2.6)$ : Calculate the principal value of $\arctan(2.6)$ using a calculator or trigonometric tables to find the angle whose tangent is $2.6$ . $\newline$ Principal value of $\arctan(2.6)$ $\approx 69.0$ degrees (rounded to the nearest tenth).
Check given options: Check the given options to find the one that matches the calculated principal value. $\newline$ (A) $-111.0$ degrees is not in the range of $-90$ to $90$ degrees. $\newline$ (B) $69.0$ degrees is in the range of $-90$ to $90$ degrees and matches our calculated value. $\newline$ (C) $249.0$ degrees is not in the range of $-90$ to $90$ degrees. $\newline$ (D) $429.0$ degrees is not in the range of $-90$ to $90$ degrees.
Select correct answer: Select the correct answer based on the principal value range and the calculated value. $\newline$ The correct answer is (B) $69.0$ degrees.