Math 142 Chapter 5

Question 1

S=r0(theta)
What equation is this used for?

Answer 1

Length of a Circular arc

Question 2

In section 5.1 what does the letter r stand for?

Answer 2

Radius

Question 3

In one mile how many feet?

Answer 3

5280FT

Question 4

In one foot how many inches?

Answer 4

12in

Question 5

What is the equation for linear speed?

Answer 5

distance units/time units

Question 6

What is the equation for angular speed?

Answer 6

angle units/time units

Question 7

What is the equation for angular speed and linear speed together?

Answer 7

v=rw

Question 8

What is a reference angle?

Answer 8

The reference angle is the smallest angle formed between the terminal side of the angle and x-axis.

Question 9

What is a coterminal angle?

Answer 9

Angles that share the same terminal side degrees.

Question 10

What is a quadrantal angle?

Answer 10

A terminal side falling on an axis.

Question 10

In what way do you draw the angle if it is positive?

Answer 10

counterclockwise

Question 10

In what way do you draw the angle if it is negative?

Answer 10

clockwise direction.

Question 11

What is the way to memorize the order of the quadrants of a graph are?

Answer 11

In a shape of a C. (1, 2. 3. 4.)

Question 12

What is the name of the start of the angle drawn on a graph?

Answer 12

Initial side.

Question 13

What is the name of the end of the angle drawn on a graph?

Answer 13

Terminal side.

Question 14

What is the area of a sector equation?

Answer 14

A=1/2 (0)r^2

Question 15

What is theta in section 5.1?

Answer 15

Central Angle.

Question 16

What unit does central angle have to be in?

Answer 16

MUST be in radians.

Question 17

What is the extension pythagorean theorem?

Answer 17

Sin^2(0)+Cos^2(0)=1

Question 18

Why is the C^2=1?

Answer 18

C^2 is 1 because the radian of The Unit Circle is 1.

Question 19

What does A.S.T.C mean?

Answer 19

All Students Take Calculus is an acronym to evaluate any cos or sin angle?

Question 20

What is the domain of y=sin(x)?

Answer 20

(-00,00)

Question 21

What is the range of y=sin(x)?

Answer 21

[-1,1]

Question 22

What is the domain of y=cos(x)?

Answer 22

(-00,00)

Question 23

What is the range of y=cos(x)?

Answer 23

[-1,1]

Question 24

What is cos on the unit circle?

Answer 24

The cos is the x coordinates.

Question 25

What is the sin on the unit circle?

Answer 25

The sin is the y coordinates.

Question 26

What is tan?

Answer 26

Tangent

Question 27

What is csc?

Answer 27

cosecant

Question 28

What is sec?

Answer 28

secant

Question 29

what is cot?

Answer 29

cotangent

Question 30

how do you find the csc(0)?

Answer 30

1/y

Question 31

How do you find the sec(0)?

Answer 31

1/x

Question 32

how do you find the cot(0)?

Answer 32

x/y

Question 33

What are even functions?

Answer 33

f(-x)=f(x) y-axis symmetry
ex: cos(-pi/3)=(pi/3)=1/2

Question 34

What are odd functions?

Answer 34

f(-x)=-f(x) origin symmetry
ex:sin(-pi/6)=-sin(pi/6)=-1/2

Question 35

What is pi/3? Give the (x,y) and degrees.

Answer 35

(1/2, sq3 /2), 60 degrees

Question 36

What is pi/4? Give the (x,y) and degrees.

Answer 36

(sq2 /2, sq2 /2), 45 degrees

Question 37

What is pi/6 Give the (x,y) and degrees.

Answer 37

(sq 3/2, 1/2), 30 degrees

Question 38

what are the common angles?

Answer 38

30 degrees, 45 degrees, 60 degrees

Question 39

WILL YOU STUDY WITH YOUR PRACTICE ON YOUR OWN?

Answer 39

Yes!!!

Question 40

What are complementary angles?

Answer 40

two angles that add up to be 90 degrees or (pi/2)

Question 41

what are supplementary angles?

Answer 41

two angles that add up to be 180 degrees or (pi)

Question 42

What are cofunctions?

Answer 42

a relationship between functions

ex: sine - COsine
secant - COsecant
tangent - COtangent

Question 43

Right Triangle Trigonometry

Answer 43

Using Soh-Cah-Toa

Question 44

What is standard position?

Answer 44

The vertex of angle will be located on the origin of a graph