chapter 4

Question 1

1 whole degrees

Answer 1

180

Question 2

inside paranthesis -

Answer 2

go right

Question 3

parent sec /csc range

Answer 3

(-inf, -1] U [1, inf)

Question 4

if ratiox=y, then the side adjacent to x is x times the length of the side oppositeq

Answer 4

check using triange

Question 5

semicircle how many arcs of radius length

Answer 5

pi

Question 6

3/4 circlehow many arcs of radius length

Answer 6

3pi/2

Question 7

how to find large degrees

Answer 7

see how many revs it is as simplified fraction (degree/360)

Question 8

angle where tan is udefined

Answer 8

pi/2 ad 3pi/2 on unit circle

Question 9

finding average rate f change

Answer 9

check both values then put into change of slope formula

Question 10

sec3pi

Answer 10

1/cos3pi

Question 11

cos changes every

Answer 11

pi/2

Question 12

when finding x

Answer 12

think what input you need unit-circle wise to get y

Question 13

x ints on cos represent

Answer 13

y ints on unit circle

Question 14

x ints on cos

Answer 14

pi/2 + pin

Question 15

intersects of cos and sin represent

Answer 15

same signs in q1 and 3, sinpi/4=cospi/4

Question 16

sin starts and down

Answer 16

pi/2

Question 17

cos starts and down

Answer 17

pi

Question 18

how far apart asmpyotes

Answer 18

1/2 period

Question 19

writing equation of curve given asymptoes

Answer 19

divide 2pi/asymptote with 2pi numerator
gives horizontal shrink so do opposite

Question 20

tan goes up and down

Answer 20

halway thru pi/2

Question 21

period of tn funs

Answer 21

stretch/shrink factor, not double, but still opposite

Question 22

f(x)=tanx and g(x)=cotx

Answer 22

f(x) * g(x) > 0

Question 23

contan goes thru what with what period

Answer 23

pi/2 with period of pi

Question 24

cot upper and lower points

Answer 24

halfway between pi/2 and 0

Question 25

inverse original equals original?

Answer 25

no because ranges can be different (so check) and might not be in interval

Question 26

maximum

Answer 26

d + a

Question 27

minimum

Answer 27

d - a

Question 28

beats per minute

Answer 28

seconds/contraction to bpm

Question 29

1 3 and 6 radians

Answer 29

57, 172, 344

Question 30

radian

Answer 30

the measure of an angle whose arc length is one radius

Question 31

angles to radiasns

Answer 31

pi/180

Question 32

quadant angles

Answer 32

1/2s

Question 33

reference angle

Answer 33

the acute angle that is formed by the terminal side and the x axis

Question 34

finding refernce angle

Answer 34

angle formed by line and closest x axis

Question 35

- go

Answer 35

opposite direction

Question 36

30 60 90 unit circle

Answer 36

1 hyp, 1/2 by 60 (60 is tall), root 3 over 2 ll

Question 37

sin and cos 0

Answer 37

0 and 1

Question 38

sin symmetry, d, period, r, amp

Answer 38

odd/origin, (-inf, inf), 2pi, [-1,1], 1

Question 39

cos symmetry, d, period, r, amp

Answer 39

even/y, (-inf, inf), 2pi, [-1,1],1

Question 40

a, b, c, d

Answer 40

amplitude, period, phase shift, midline

Question 41

csc period, asymptote, range

Answer 41

2pi, x=pin, (-inf,-1]U[1,nf)

Question 42

sec period, asymptote, range

Answer 42

2pi, x=pi/2 + pin,(-inf,-1]U[1,nf)

Question 43

tan vas, intervals, range, period

Answer 43

x=pi/2, increasing, (-inf,inf), pi

Question 44

cot vas, intervals, range, period

Answer 44

x=pin, decreasing, (-inf, inf), pi

Question 45

period is horizontal shrink so

Answer 45

do opposite to #x to get new period

Question 46

y=cotx

Answer 46

y=-tan(x-pi/2)

Question 47

tan and cot intersect

Answer 47

both +1 and -1

Question 48

inverse of sin, cos, tan perfect funcs

Answer 48

swaps input and output

Question 49

domain of sin, cos, tan parent funcs

Answer 49

restricted so that the inverse will be a func/only one output

Question 50

y=arcsin

Answer 50

D [-1,1] R [-pi/2,pi/2] Q1 AND 4

Question 51

y=arccos

Answer 51

D [-1, 1] R [o, pi], Q1 AND 2

Question 52

y=arctan

Answer 52

D (-inf, inf) R (-pi/2, pi/2) Q1 AND 4

Question 53

inverse -

Answer 53

where is ratio -

Question 54

pi will mean

Answer 54

its an angle

Question 55

if angle

Answer 55

undefined

Question 56

numer/2

Answer 56

45

Question 57

diamters

Answer 57

amplitude times 2

Question 58

how long does one rev take

Answer 58

period