Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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) $4$ . $45$

View step-by-step help

View step-by-step help

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

Full solution

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.

More problems from Find measures of complementary, supplementary, vertical, and adjacent angles

Question

1.92\div3?

Posted 2 months ago

Question

what is the measure of the complement of an angle that measures

7^\circ

Posted 2 months ago

Question

\begin{tabular}{|c|c|}

\newline

\hline Angle & Measure \\

\newline

a

\newline

b

\newline

c

\newline

\newline

Posted 1 month ago

Question

Determine the unknown angle measures.

\newline

14

Posted 1 month ago

Question

What is the equation to solve an unknown angle using tangent

Posted 1 month ago

Question

Use the transversal to find the value of

x

\newline

What is the measure of the purple angle?

\newline

What is the measure of the blue angle?

Posted 29 days ago

Question

Solve for the measure of

35^\circ

x^\circ

M

N

Posted 26 days ago

Question

12

\newline

What is the value of angle TSR

Posted 27 days ago

Question

angle. Round to the nearest

3

Posted 13 days ago

Question

Aditya's dog routinely eats Aditya's leftovers, which vary seasonally. As a result, his weight fluctuates throughout the year.

\newline

The dog's weight

W(t)

\mathrm{kg}

) as a function of time

t

(in days) over the course of a year can be modeled by a sinusoidal expression of the form

a \cdot \cos (b \cdot t)+d

\newline

t=0

, the start of the year, he is at his maximum weight of

9.1 \mathrm{~kg}

. One-quarter of the year later, when

t=91.25

, he is at his average weight of

8.2 \mathrm{~kg}

\newline

W(t)

\newline

t

should be in radians.

Posted 21 hours ago