The 6 Trigonometric Functions.

Question 1

If Theta = 0 degrees, Sin Theta =

Answer 1

0

Question 2

If Theta = 0 degrees, Cos Theta=

Answer 2

1

Question 3

If Theta = 0 degrees, Tan Theta=

Answer 3

0

Question 4

If Theta = PI/2 or 90 degrees, Sin 90 degrees=

Answer 4

1

Question 5

If Theta = PI/2 or 90 degrees, Cos 90 degrees=

Answer 5

0

Question 6

If Theta = PI/2 or 90 degrees, Tan 90 degrees=

Answer 6

Undefined.

Question 7

If Theta = PI or 180 degrees, Sin 180 degrees=

Answer 7

0

Question 8

If Theta = PI or 180 degrees, Cos 180 degrees=

Answer 8

-1

Question 9

If Theta = PI or 180 degrees, Tan 180 degrees=

Answer 9

0

Question 10

If Theta = PI/4 or 45 degrees, Sin 45 degrees=

Answer 10

Root 2/2

Question 11

If Theta = PI/4 or 45 degrees, Cos 45 degrees=

Answer 11

Root 2/2

Question 12

If Theta = PI/4 or 45 degrees, Tan 45 degrees=

Answer 12

1

Question 13

If Theta = PI/6 or 30 degrees, Sin 30 degrees=

Answer 13

1/2

Question 14

If Theta = PI/6 or 30 degrees, Cos 30 degrees=

Answer 14

Root 3/2

Question 15

If Theta = PI/6 or 30 degrees, Tan 30 degrees=

Answer 15

1/Root 3

Question 16

If Theta = PI/3 or 60 degrees, Sin 60 degrees=

Answer 16

Root 3/2

Question 17

If Theta = PI/3 or 60 degrees, Cos 60 degrees=

Answer 17

1/2

Question 18

If Theta = PI/3 or 60 degrees, Tan 60 degrees=

Answer 18

Root 3

Question 19

1 degree=

Answer 19

pi/180 radians

Question 20

1 radian=

Answer 20

180/pi

Question 21

Arc Length=

Answer 21

s=r theta

Question 22

Area of a sector=

Answer 22

A=1/2 r (squared) theta.

Question 23

Sin Theta=

Answer 23

y

Question 24

Cos Theta=

Answer 24

x

Question 25

Tan Theta=

Answer 25

y/x

Question 26

Cosec Theta=

Answer 26

1/y

Question 27

Sec Theta=

Answer 27

1/x

Question 28

Cot Theta

Answer 28

x/y

Question 29

What type of graph is this?

Answer 29

Sin

Question 30

What type of graph is this?

Answer 30

Cos

Question 31

What type of graph is this?

Answer 31

Cot

Question 32

What type of graph is this?

Answer 32

Cosec

Question 33

What type of graph is this?

Answer 33

Sec

Question 34

What type of graph is this?

Answer 34

Tan

Question 35

All Silver Tea Cups: All is Quadrant I, _______ funtions are positive.

Answer 35

All!

Question 36

All Silver Tea Cups: Silver is Quadrant II and _______ and _______ functions are positive.

Answer 36

Sin and Cosecant!

Question 37

All Silver Tea Cups: Tea is Quadrant III and ______ and ______ functions are positive.

Answer 37

Tangent and Cotangent!

Question 38

All Silver Tea Cups: Cups is Quadrant IV and _____ and ______ functions are positive.

Answer 38

Cosecant and Secant!

Question 39

What is the transformation? y=f(x)+k

Answer 39

Vertically up by k units.

Question 40

What is the transformation? y=f(x)-k

Answer 40

Vertically down by k units.

Question 41

What is the transformation? y=f(x+h)

Answer 41

Horizontally left by h units.

Question 42

What is the transformation? y=f(x-h)

Answer 42

Horizontally right by h units.

Question 43

What is the transformation? y=f(x)

Answer 43

If a\>1 vertically stretch. If 0

Question 44

What is the transformation? y=f(a\*x)

Answer 44

If a \>1, horizontally compress. If 0

Question 45

What is the transformation? y= -f(x)

Answer 45

Reflects about the x-axis.

Question 46

What is the transformation? y= f(-x)

Answer 46

Reflects about the y-axis.

Question 47

In transformations, stretch=

Answer 47

Multiplication.

Question 48

In transformations, Compress=

Answer 48

Division.

Question 49

In transformations, Vertical=

Answer 49

On all y-coordinates.

Question 50

In transformations, horizontal=

Answer 50

on all the x-coordinates.

Question 51

Amplitude = I A I

Answer 51

All real numbers, no negatives.

Question 52

Period =

Answer 52

T= 2pi/w

Question 53

y=A sin w x

Answer 53

y=A cos w x

Question 54

State the domain, range and period of a sin function f(x)=sin(x).

Answer 54

Domain= ARN Range= [-1,1] Period=2pi

Question 55

State the domain, range and period of a cos function f(x)=cos(x).

Answer 55

Domain= ARN Range= [-1,1] Period=2pi

Question 56

State the domain, range, period and vertical asymptootes of a tan function f(x)=tan(x).

Answer 56

Domain=all real numbers except pi/2 + k pi, k is an integer. Range=ARN Period=pi Vertical asymptotes: x = pi/2 + k pi, where k is an integer.

Question 57

State the domain, range, period and vertical asymptotes of a cot function f(x)=cot(x).

Answer 57

Domain: all real numbers except k pi, k is an integer. Range: all real numbers Period = pi Vertical asymptotes: x = k pi, where k is an integer.

Question 58

State the domain, range, period and vertical asymptotes of a sec function f(x)=sec(x).

Answer 58

Domain: all real numbers except pi/2 + k pi, n is an integer. Range: (-infinity , -1] U [1 , +infinity) Period = 2 pi Vertical asymptotes: x = pi/2 + k pi, where k is an integer.

Question 59

State the domain, range, period and vertical asymptotes of a csc function f(x)=csc(x).

Answer 59

Domain: all real numbers except k pi, k is an integer. Range: (-infinity , -1] U [1 , +infinity) Period = 2pi Vertical asymptotes: x = k pi, where k is an integer.