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146 week 10.notebook March 29, 2017
Agenda
Review Quiz 9 and Practice Midterm
Lecture
146 week 10.notebook March 29, 2017
146 week 10.notebook March 29, 2017
Quiz 9 #5
amplitude=1=A
period=pi=2pi/B B=2
Phase shift=pi/2 =
C/2=pi/2 C=pi
Raised by 2=D
phase shift was pi/2 (got a differentC)
146 week 10.notebook March 29, 2017
12 Practice Midterm
y1=log(x3)/log(3)
17
1/cos(330 )
1/sin(10 /9)
146 week 10.notebook March 29, 2017
19.
amplitude:1=A
Period=8=2pi/B
B=pi/4
PS=2 = C/B
c= 2B= pi/2
Lowered:2=Dregression
20
tan 0 = 0
cot 0 = undef
tan with period pi
y=tanx y=tan(xpi/4)
period =2piregular sec
y=2secx
146 week 10.notebook March 29, 2017
cot or tansec or csc
cot(0) =1/tan(0)
= undefined
tan or cot tan or cot sec or csc
146 week 10.notebook March 29, 2017
tan or cot
tan period
146 week 10.notebook March 29, 2017
Lecture:
146 week 10.notebook March 29, 2017
A=12
Per=3=2pi/B
B=2pi/3
C=
PS= C/B = 1.5 1.5B=pi
y = 12sin(2pix/3 + pi)
y = 12sin(2pix/3)
Inverse Functions
Fails Horizontal Line Test
switches domain and range
146 week 10.notebook March 29, 2017
sine
pass HLT
domain: [90,90]
range: [1,1]
arcsin domain[1,1]
range:[90,90]
cos tan
90 90
domain[90,90]
range:(oo,oo)
domain [0,180]
range [1,1]
146 week 10.notebook March 29, 2017
sin(60 ) =
1/sin(tan1(12/5))=
angle = tan1(12/5)
tan(angle) = 12/5
a
SOH
CAH
TOA
tan=opp/adj 12
5
13
hyp/opp = 13/12
146 week 10.notebook March 29, 2017
8
15
adj
hyp= 8/15 = cos(a)
a= cos1 (8/15)=
Right Triangle Trig
0 30456090
120
135
150
180
210
225
240
270
300
S √0/2
√1/2
√2/2
√3/2
√4/2
√3/2
√2/2
√1/2
√0/2
√1/2
√2/2
√3/2
√4/2
√3/2
C √4/2
√3/2
√2/2
√1/2
√0/2
√1/2
√2/2√0/2
146 week 10.notebook March 29, 2017
