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146 week 12.notebook November 16, 2016 toa=opp/adj

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Page 1: 146 week 12.notebook - MCCCporterr/course/146/documents/146week12.p… · 146 week 12.notebook November 16, 2016 indegrees...225 *pi/180=5pi/4 225/180=5/4 315/180= 7/4 period=130-10=120

146 week 12.notebook November 16, 2016

toa=opp/adj

Page 2: 146 week 12.notebook - MCCCporterr/course/146/documents/146week12.p… · 146 week 12.notebook November 16, 2016 indegrees...225 *pi/180=5pi/4 225/180=5/4 315/180= 7/4 period=130-10=120

146 week 12.notebook November 16, 2016

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 = .75 270

540 360

720

y1=tanx y2= ­3

in degrees

Page 3: 146 week 12.notebook - MCCCporterr/course/146/documents/146week12.p… · 146 week 12.notebook November 16, 2016 indegrees...225 *pi/180=5pi/4 225/180=5/4 315/180= 7/4 period=130-10=120

146 week 12.notebook November 16, 2016

Page 4: 146 week 12.notebook - MCCCporterr/course/146/documents/146week12.p… · 146 week 12.notebook November 16, 2016 indegrees...225 *pi/180=5pi/4 225/180=5/4 315/180= 7/4 period=130-10=120

146 week 12.notebook November 16, 2016

= cos(2    ) =cos(4pi/11)

#7 Quiz 11

Page 5: 146 week 12.notebook - MCCCporterr/course/146/documents/146week12.p… · 146 week 12.notebook November 16, 2016 indegrees...225 *pi/180=5pi/4 225/180=5/4 315/180= 7/4 period=130-10=120

146 week 12.notebook November 16, 2016

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

solver

Page 6: 146 week 12.notebook - MCCCporterr/course/146/documents/146week12.p… · 146 week 12.notebook November 16, 2016 indegrees...225 *pi/180=5pi/4 225/180=5/4 315/180= 7/4 period=130-10=120

146 week 12.notebook November 16, 2016

Due when we get back

=1.005% decay

exp regression

Page 7: 146 week 12.notebook - MCCCporterr/course/146/documents/146week12.p… · 146 week 12.notebook November 16, 2016 indegrees...225 *pi/180=5pi/4 225/180=5/4 315/180= 7/4 period=130-10=120

146 week 12.notebook November 16, 2016

period=12

Page 8: 146 week 12.notebook - MCCCporterr/course/146/documents/146week12.p… · 146 week 12.notebook November 16, 2016 indegrees...225 *pi/180=5pi/4 225/180=5/4 315/180= 7/4 period=130-10=120

146 week 12.notebook November 16, 2016

10.2...          19.57...

 y2=32

period: 18

desire value: 32       period:  18

intersection:    10.2...         19.57....

  10.2...+18n

  19.57...+18n

Half Angles

Page 9: 146 week 12.notebook - MCCCporterr/course/146/documents/146week12.p… · 146 week 12.notebook November 16, 2016 indegrees...225 *pi/180=5pi/4 225/180=5/4 315/180= 7/4 period=130-10=120

146 week 12.notebook November 16, 2016

Page 10: 146 week 12.notebook - MCCCporterr/course/146/documents/146week12.p… · 146 week 12.notebook November 16, 2016 indegrees...225 *pi/180=5pi/4 225/180=5/4 315/180= 7/4 period=130-10=120

146 week 12.notebook November 16, 2016

Page 11: 146 week 12.notebook - MCCCporterr/course/146/documents/146week12.p… · 146 week 12.notebook November 16, 2016 indegrees...225 *pi/180=5pi/4 225/180=5/4 315/180= 7/4 period=130-10=120

146 week 12.notebook November 16, 2016

indegrees...225 *pi/180=5pi/4

225/180=5/4

315/180= 7/4

period=130-10=120

solutions 10, 50

10 + 120n

50 + 120n

sin(3x) period = 360/3 =120

unique

Page 12: 146 week 12.notebook - MCCCporterr/course/146/documents/146week12.p… · 146 week 12.notebook November 16, 2016 indegrees...225 *pi/180=5pi/4 225/180=5/4 315/180= 7/4 period=130-10=120

146 week 12.notebook November 16, 2016