Chapter 12, Trigonometric Functions Video Solutions, Applied Calculus for the Managerial, Life, and Social Sciences

00:46

Problem 1

Express the angle shown in the figure in radian measure.

Joseph Lentino

Numerade Educator

00:46

Problem 2

Express the angle shown in the figure in radian measure.

Joseph Lentino

Numerade Educator

00:46

Problem 3

Express the angle shown in the figure in radian measure.

Joseph Lentino

Numerade Educator

00:46

Problem 4

Express the angle shown in the figure in radian measure.

Joseph Lentino

Numerade Educator

01:07

Problem 5

Identify the quadrant in which the angle lies.
a. $220^{\circ}$
b. $-110^{\circ}$
c. $460^{\circ}$
d. $-310^{\circ}$

Tyler Moulton

Numerade Educator

01:06

Problem 6

Identify the quadrant in which the angle lies.
a. $\frac{13 \pi}{6}$ radians
b. $-\frac{11 \pi}{4}$ radians
c. $\frac{17 \pi}{3}$ radians
d. $-\frac{25 \pi}{12}$ radians

Tyler Moulton

Numerade Educator

01:02

Problem 7

Convert the angle to radian measure.
$$75^{\circ}$$

Tyler Moulton

Numerade Educator

01:02

Problem 8

Convert the angle to radian measure.
$$330^{\circ}$$

Tyler Moulton

Numerade Educator

01:02

Problem 9

Convert the angle to radian measure.
$$160^{\circ}$$

Tyler Moulton

Numerade Educator

01:02

Problem 10

Convert the angle to radian measure.
$$-210^{\circ}$$

Tyler Moulton

Numerade Educator

01:04

Problem 11

Convert the angle to radian measure.
$$630^{\circ}$$

Tyler Moulton

Numerade Educator

01:02

Problem 12

Convert the angle to radian measure.
$$-420^{\circ}$$

Tyler Moulton

Numerade Educator

01:03

Problem 13

Convert the angle to degree measure.
$\frac{2 \pi}{3}$ radians

Tyler Moulton

Numerade Educator

01:09

Problem 14

Convert the angle to degree measure.
$$\frac{7 \pi}{6} \text { radians }$$

Tyler Moulton

Numerade Educator

01:07

Problem 15

Convert the angle to degree measure.
$$-\frac{3 \pi}{2} \text { radians }$$

Tyler Moulton

Numerade Educator

01:05

Problem 16

Convert the angle to degree measure.
$$-\frac{13 \pi}{12} \text { radians }$$

Tyler Moulton

Numerade Educator

01:02

Problem 17

Convert the angle to degree measure.
$$\frac{22 \pi}{18} \text { radians }$$

Tyler Moulton

Numerade Educator

01:05

Problem 18

Convert the angle to degree measure.
$$-\frac{21 \pi}{6} \text { radians }$$

Tyler Moulton

Numerade Educator

01:11

Problem 19

Make a sketch of the angle on a unit circle.
$$225^{\circ}$$

Tyler Moulton

Numerade Educator

01:06

Problem 20

Make a sketch of the angle on a unit circle.
$$-120^{\circ}$$

Tyler Moulton

Numerade Educator

01:13

Problem 21

Make a sketch of the angle on a unit circle.
$\frac{7 \pi}{3}$ radians

Tyler Moulton

Numerade Educator

01:09

Problem 22

Make a sketch of the angle on a unit circle.
$$-\frac{13 \pi}{6} \text { radians }$$

Tyler Moulton

Numerade Educator

01:38

Problem 23

Determine an angle that is a coterminal angle of the angle $\theta$. Use degree measure. (Answers may vary.)

Ankit Gupta

Numerade Educator

01:38

Problem 24

Determine an angle that is a coterminal angle of the angle $\theta$. Use degree measure. (Answers may vary.)

Ankit Gupta

Numerade Educator

01:38

Problem 25

Determine an angle that is a coterminal angle of the angle $\theta$. Use degree measure. (Answers may vary.)

Ankit Gupta

Numerade Educator

01:38

Problem 26

Determine an angle that is a coterminal angle of the angle $\theta$. Use degree measure. (Answers may vary.)

Ankit Gupta

Numerade Educator

01:12

Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, explain why, or give an example to show why it is false.
The angle $3630^{\circ}$ lies in the first quadrant.

Tyler Moulton

Numerade Educator

01:08

Problem 28

Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, explain why, or give an example to show why it is false.
The angle $\frac{103 \pi}{6}$ radians lies in the second quadrant.

Tyler Moulton

Numerade Educator

01:05

Problem 29

Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, explain why, or give an example to show why it is false.
If $\theta$ is any angle, then $\theta+n(360),$ where $n$ is a nonzero integer, is coterminal with $\theta$ (all angles measured in degrees).

Harsh Gadhiya

Numerade Educator

01:01

Problem 30

Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, explain why, or give an example to show why it is false.
If $x, y,$ and $z$ are measured in degrees, then $(x+y+z)$ degrees is equal to $\frac{\pi}{180}(x+y+z)$ radians.

Harsh Gadhiya

Numerade Educator

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