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146 week 12..notebook - MCCCporterr/course/146/documents/146week12_000.pdf146 week 12..notebook...

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146 week 12..notebook April 12, 2017 Agenda Review Quiz 11 Lecture Double and Half Identities Lecture Equations Project Review Quiz 11
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Page 1: 146 week 12..notebook - MCCCporterr/course/146/documents/146week12_000.pdf146 week 12..notebook April 12, 2017 Agenda Review Quiz 11 Lecture Double and Half Identities Lecture Equations

146 week 12..notebook April 12, 2017

Agenda

Review Quiz 11

Lecture Double and Half Identities

Lecture Equations 

Project

Review Quiz 11

Page 2: 146 week 12..notebook - MCCCporterr/course/146/documents/146week12_000.pdf146 week 12..notebook April 12, 2017 Agenda Review Quiz 11 Lecture Double and Half Identities Lecture Equations

146 week 12..notebook April 12, 2017

Page 3: 146 week 12..notebook - MCCCporterr/course/146/documents/146week12_000.pdf146 week 12..notebook April 12, 2017 Agenda Review Quiz 11 Lecture Double and Half Identities Lecture Equations

146 week 12..notebook April 12, 2017

Page 4: 146 week 12..notebook - MCCCporterr/course/146/documents/146week12_000.pdf146 week 12..notebook April 12, 2017 Agenda Review Quiz 11 Lecture Double and Half Identities Lecture Equations

146 week 12..notebook April 12, 2017

toa=opp/adj

Double Angles Identites

Page 5: 146 week 12..notebook - MCCCporterr/course/146/documents/146week12_000.pdf146 week 12..notebook April 12, 2017 Agenda Review Quiz 11 Lecture Double and Half Identities Lecture Equations

146 week 12..notebook April 12, 2017

sin(2x) = 2(­3)/(10)= ­.6

cos(2x)=(1/10)­(9/10)= ­.8

Q4:

In Q3 because both ­

tan(2x)=sin(2x)/cos(2x)

 = ­.6/­.8 = .75

y1=tanx y2= ­3

in degrees

Page 6: 146 week 12..notebook - MCCCporterr/course/146/documents/146week12_000.pdf146 week 12..notebook April 12, 2017 Agenda Review Quiz 11 Lecture Double and Half Identities Lecture Equations

146 week 12..notebook April 12, 2017

Page 7: 146 week 12..notebook - MCCCporterr/course/146/documents/146week12_000.pdf146 week 12..notebook April 12, 2017 Agenda Review Quiz 11 Lecture Double and Half Identities Lecture Equations

146 week 12..notebook April 12, 2017

#7 Quiz 11

Page 8: 146 week 12..notebook - MCCCporterr/course/146/documents/146week12_000.pdf146 week 12..notebook April 12, 2017 Agenda Review Quiz 11 Lecture Double and Half Identities Lecture Equations

146 week 12..notebook April 12, 2017

cosx cospi/3-sinxsinpi/3 + cosxcospi/3 +sinx sinpi/3

.5cosx+.5cosx = cosx

6

=sinacosb+cosasinb

cosa = -4/5

cosB=A/H=3/5

sinB=O/H=4/5

Page 9: 146 week 12..notebook - MCCCporterr/course/146/documents/146week12_000.pdf146 week 12..notebook April 12, 2017 Agenda Review Quiz 11 Lecture Double and Half Identities Lecture Equations

146 week 12..notebook April 12, 2017

Half Angles

Page 10: 146 week 12..notebook - MCCCporterr/course/146/documents/146week12_000.pdf146 week 12..notebook April 12, 2017 Agenda Review Quiz 11 Lecture Double and Half Identities Lecture Equations

146 week 12..notebook April 12, 2017

Page 11: 146 week 12..notebook - MCCCporterr/course/146/documents/146week12_000.pdf146 week 12..notebook April 12, 2017 Agenda Review Quiz 11 Lecture Double and Half Identities Lecture Equations

146 week 12..notebook April 12, 2017

Page 12: 146 week 12..notebook - MCCCporterr/course/146/documents/146week12_000.pdf146 week 12..notebook April 12, 2017 Agenda Review Quiz 11 Lecture Double and Half Identities Lecture Equations

146 week 12..notebook April 12, 2017

Solving Trig Equations

Page 13: 146 week 12..notebook - MCCCporterr/course/146/documents/146week12_000.pdf146 week 12..notebook April 12, 2017 Agenda Review Quiz 11 Lecture Double and Half Identities Lecture Equations

146 week 12..notebook April 12, 2017

sin(3x) = cos(2x)+.1

Due when we get back

Page 14: 146 week 12..notebook - MCCCporterr/course/146/documents/146week12_000.pdf146 week 12..notebook April 12, 2017 Agenda Review Quiz 11 Lecture Double and Half Identities Lecture Equations

146 week 12..notebook April 12, 2017

period=12

Page 15: 146 week 12..notebook - MCCCporterr/course/146/documents/146week12_000.pdf146 week 12..notebook April 12, 2017 Agenda Review Quiz 11 Lecture Double and Half Identities Lecture Equations

146 week 12..notebook April 12, 2017

10.2...          19.57...

 y2=32

period: 18

desire value: 32       period:  18

intersection:    10.2...         19.57....

  10.2...+18n

  19.57...+18n

Page 16: 146 week 12..notebook - MCCCporterr/course/146/documents/146week12_000.pdf146 week 12..notebook April 12, 2017 Agenda Review Quiz 11 Lecture Double and Half Identities Lecture Equations

146 week 12..notebook April 12, 2017


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