warm up n.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
Warm up…. PowerPoint Presentation
Download Presentation
Warm up….

Loading in 2 Seconds...

play fullscreen
1 / 20

Warm up…. - PowerPoint PPT Presentation


  • 123 Views
  • Uploaded on

Warm up…. Draw the special right triangles… Find the side lengths for a triangle of radius 1:. Section 4.2 THE UNIT CIRCLE. The Unit Circle:. The set of points at a distance 1 from the origin, a circle of radius 1. x 2 + y 2 = 1.

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 'Warm up….' - agrata


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
warm up
Warm up….
  • Draw the special right triangles…
  • Find the side lengths for a triangle of radius 1:
slide2

Section 4.2

THE UNIT CIRCLE

the unit circle
The Unit Circle:

The set of points at a distance 1 from the origin, a circle of radius 1

x2 + y2 = 1

Terminal Points: the point (x, y) from a distance around a circle starting from (1,0 )

a circle is symmetric with respect to
A circle is symmetric with respect to?

y = x

Therefore, we can find other terminal points on this unit circle.

definition of the trigonometric functions
Definition of the trigonometric functions:
  • Let t be any real number and let P(x,y) be the terminal point on the unit circle determined by t then:
4 2 day 2 warm up
4.2 – Day 2 Warm Up
  • Without using your notebook, calculator, friends, etc. Fill out a blank unit circle.
  • If you talk or cheat you are disqualified!

*A correctly completed UNIT CIRCLE will

earn a 5 pt pass!!!

when functions behave in a repetitive or cyclic manner they are called periodic
When functions behave in a repetitive (or cyclic) manner, they are called PERIODIC.

f( t + c) = f(t) “c” is the period…… try to always use 2π

*this will help you evaluate numbers when they are not on the unit circle

(ex) Evaluate sin 13π

6

some more practice evaluating
Some more practice evaluating:

More practice…. Pg . 278 # 30 – 36 even

hw day 2 pg 278 s 4 6 10 14 28 even 29 39 odd memorize unit circle and trig functions
HW DAY 2pg. 278 #’s 4, 6, 10, 14-28 even, 29-39 odd*Memorize Unit Circle and Trig Functions!!!!
even and odd properties of trig functions
Even and Odd properties of Trig Functions:
  • Even: Cosine and Secant

cos (-t) = cos (t) sec (-t)=sec (t)

  • Odd: sine, cosecant, tangent, and cotangent

sin (-t) = - sin t csc (-t) = -csc t

tan (-t) = - tan t cot (-t) = - cot t

last but not least
Last but not least….
  • Of course you can evaluate using your calculator!!

The steps, if you don’t remember are on page 277 at the bottom!!

some practice hw day 3
Some practice/HW – DAY 3
  • Pg. 278 #’s 39 – 52 all, 53, 55, and 58