146 week 13.notebook November 30, 2016

Precalculus Study of Function= job

3 ways to represent: data, graphs, equations

polynomials/rationals/expon/logs/trigs/

in to out f(2) =   evaluate

out from what input = solve  (inverse)

Transformed 

Applications(compound interest)

Properties ( end behav, zeros, asymptotes, max.mins, inc, dec etc)

Log props and identities of trig things

 

146 week 13.notebook November 30, 2016

Today:

Solving Trig Equations

Law of Sines and Cosines (application)

A

B

C

a=corresponding side

               to angle Ab

c

law of sines

   a       =         b          =       c

sinA           sin B               sin C

AAA= three angles given

30 425

ASAEx

1803042

108

      5          =       x

   sin108         sin42

146 week 13.notebook November 30, 2016

Ex.    ASS

146 week 13.notebook November 30, 2016

too long= also one solution

A

b

c

SAS

LAW OF COSINES

a2 = b2  + c2   2 *b* c * cos A 

a2  =1 +    4    2*      2*cosA

1

2

a26

146 week 13.notebook November 30, 2016

SSS 3 4

6

32 = 42 + 62  2*4*6cos(A)

 AB=36.33

C=18036.3326.38

146 week 13.notebook November 30, 2016

change 45 degrees to pi/4 radians

calculator in radians

146 week 13.notebook November 30, 2016

146 week 13.notebook November 30, 2016

y1= sin(x)1

y2=0

window:  xmin:0   xmax:360

calculator in degrees!!!

zoom 0 : zoomfit

calc 5: intersect x3

146 week 13.notebook November 30, 2016

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