analytic trigonometry
Download
Skip this Video
Download Presentation
Analytic Trigonometry

Loading in 2 Seconds...

play fullscreen
1 / 11

Analytic Trigonometry - PowerPoint PPT Presentation


  • 207 Views
  • Uploaded on

Analytic Trigonometry . Barnett Ziegler Bylean. Polar coordinates and complex numbers. Chapter 7. Polar coordinates. Ch 7 - section 1. Converting a point polar to rectangular. Given (3, 30⁰) From unit circle we know that cos ( ө )= x/r

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about ' Analytic Trigonometry ' - ayame


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
analytic trigonometry

Analytic Trigonometry

Barnett Ziegler Bylean

converting a point polar to rectangular
Converting a point polar to rectangular
  • Given (3, 30⁰)
  • From unit circle we know that cos(ө)= x/r
  • sin(ө) = y/r
  • Thus x = 3cos(30⁰) y = 3 sin(30⁰)
converting rectangular to polar
Converting rectangular to polar
  • Given (,-1) convert to polar coordinate
  • r2 = 2 + (-1)2 = 3 + 1 = 4
  • r = ± 2
  • tan(ө) = ө =
  • Thus (2,) or (-2, )
converting equations
Converting equations
  • Uses the same replacements
  • Ex : change to polar form

3x2 + 5y = 4 – 3y2

3r2cos2(ө) + 5r sin(ө) = 4 – 3 r2sin2(ө)

3r3 = 4 – 5r sin(ө)

  • Ex: change to rectangular form
  • r( 3cos(ө) + 7sin(ө)) = 5
trig form of complex number
Trig form of complex number
  • Z = x + iy then z = rcos(x) + irsin(y)
  • In pre - calculus or calculus you will explore the relation between this form of z and the form z = reiө
ad