146 week 12..notebook - MCCCporterr/course/146/documents/146week12_… · 146 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

146 week 12..notebook April 12, 2017

146 week 12..notebook April 12, 2017

146 week 12..notebook April 12, 2017

toa=opp/adj

Double Angles Identites

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

146 week 12..notebook April 12, 2017

146 week 12..notebook April 12, 2017

#7 Quiz 11

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

146 week 12..notebook April 12, 2017

Half Angles

146 week 12..notebook April 12, 2017

146 week 12..notebook April 12, 2017

146 week 12..notebook April 12, 2017

Solving Trig Equations

146 week 12..notebook April 12, 2017

sin(3x) = cos(2x)+.1

Due when we get back

146 week 12..notebook April 12, 2017

period=12

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

146 week 12..notebook April 12, 2017

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