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

Use Calculator or Table: To find the principal value of arctan(3.7), we need to use a calculator or a trigonometry table because the value is not one of the common angles.Calculate arctan(3.7): Using a calculator, we find that arctan(3.7) ≈ 1.31 radians.Determine Principal Value Range: The principal value of an arctan function is the value between -π/2 and π/2, which is between approximately -1.57 and 1.57 radians.Verify Principal Value: Since 1.31 is within this range, it is the principal value.

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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

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) $\quad-4.98$ $\newline$ (B) $-1$ . $83$ $\newline$ (C) $1$ . $31$ $\newline$ (D) $4$ . $45$

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Find measures of complementary, supplementary, vertical, and adjacent angles

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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)

\quad-4.98

\newline

(B)

-1

83

\newline

(C)

1

31

\newline

(D)

4

45

Use Calculator or Table: To find the principal value of $\arctan(3.7)$ , we need to use a calculator or a trigonometry table because the value is not one of the common angles.
Calculate $\arctan(3.7)$ : Using a calculator, we find that $\arctan(3.7) \approx 1.31$ radians.
Determine Principal Value Range: The principal value of an arctan function is the value between $-\frac{\pi}{2}$ and $\frac{\pi}{2}$ , which is between approximately $-1.57$ and $1.57$ radians.
Verify Principal Value: Since $1.31$ is within this range, it is the principal value.