Download presentation

Presentation is loading. Please wait.

Published byReece Harting Modified over 3 years ago

1
February 8 th copyright2009merrydavidson Warm up: Factor These. 1)y 2 – 812) cos 2 x – 9 3)z 2 - 7z + 104) sin 2 x – 5sinx – 6 5) x 2 + 2x – 86) tan 2 x + tanx - 12

2
All Students Take Classes Tells you where the trig functions are positive and/or negative. A S T C The period for tangent/ cotangent is 180 0 or pi radians The tangent graph repeats every 180 0

3
Tangent is undefined at _____________. Tangent is zero at __________________. Tangent is positive in quadrants _______. +(90 0,270 0 ) 0 0 +(180 0,360 0 ) -360-270 -180 -90 0 90 180 270 360 I & III Asymptotes start ½ period on EITHER SIDE of the y-axis. (go 1 period each way for the next asymptote)

4
Fill in the remaining parts of the Tangent Parent Function page.

5
Graphing Tangent Start with a point on the origin (or with phase shift at “start”). Draw in asymptotes ½ period to the right and left of the “start”. Draw in more asymptotes 1 period to the right and left. Draw in “up on the right, down on the left”.

6
-270 o -180 o -90 0 0 o 90 o 180 o 270 o Asymptotes at x= +(90,270) 0 Asymptotes start on either side of where you started!

8
EX 1:y = tan shifts _________ so start at ______ 0 none B = ______ Find the period: 3; P = 60 0 Go ½ period to the right and left of start and draw in/label asymptotes. Go 1 period to the right and left for another set of asymptotes. -90 -60 -30 30 60 90 Sketch in the curves and place in the y axis. 0 y-axis x-axis

9
EX 2:y = tan shifts _________ so start at ______ + 10 0 Right 10 0 B = ______ Find the period: ½; P = 360 0 Go ½ period to the right and left of start and draw in/label asymptotes. Go 1 period to the right and left for another set of asymptotes. -530 -350 -170 190 370 550 Sketch in the curves and place in the y axis. 10 y-axis x-axis

10
EX 3: y = -2tan ( )x y-axis x-axis

11
HW: worksheet 8-1

Similar presentations

OK

10.4A Polar Equations Rectangular: P (x, y) Polar: P (r, ) r = radius (distance from origin) = angle (radians)

10.4A Polar Equations Rectangular: P (x, y) Polar: P (r, ) r = radius (distance from origin) = angle (radians)

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on eisenmenger syndrome definition Ppt on motivational stories for students Download ppt on pulse code modulation ppt Ppt on preparation of soap Ppt on limits and continuity in calculus Micro display ppt on ipad Ppt on endemic and endangered species of india Ppt on central administrative tribunal judgements Ppt on unipolar nrz format Ppt on combination of resistances eve