Download presentation

Presentation is loading. Please wait.

Published byBrielle Youman Modified over 3 years ago

1
Section 4.6. Graphs of Other Trigonometric Functions What you should learn Sketch the graphs of tangent functions. Sketch the graphs of cotangent functions. Sketch the graphs of secant and cosecant functions.

2
Problem of the Day

3
Graph of the Tangent Function y = tan x Recall that the tangent function is odd, thus tan (-x) = -tan x. Therefore, the graph of y = tan x is symmetric with respect to the origin.

4
Transforming a Tangent Function y = a tan (bx - c) Two consecutive vertical asymptotes can be found by solving the equations bx – c = - π/2 and bx – c = π/2 The period of the function y = a tan (bx - c) is the distance between two consecutive vertical asymptotes. The midpoint between two vertical asymptotes is an x-intercept of the graph. The amplitude of the tangent function is undefined.

5
x-π-π0π tan x/2Und.01Und. Example 1. Sketching the Graph of a Tangent Function

6
x0 -3 tan2x Und.30-3Und. Example 2. Sketching the Graph of a Tangent Function

7
Problem of the Day

8
Graph of the Cotangent Function The graph of the cotangent function is similar to the graph of the tangent function. It has a period of π. Since, The cotangent function has vertical asymptotes when sin x is zero, which occurs at x = nπ, where n is an integer

9
Compare and Contrast Tangent and Cotangent

10
Graph of the Cotangent Function Two consecutive vertical asymptotes can be found by solving the equations bx – c = 0 and bx – c = π

11
Example 3. Sketching the Graph of a Cotangent Function x03π3π 2 cot x/3Und.20-2Und.

12
Graphs of the Reciprocal Functions

13
Sketch the graph of: Graph of the Cosecant Function

14
Sketch the graph of: y = sec 2x Graph of the Secant Function

15
Assignment 4-6 4.6 Exercises p. 339 1-6 all p. 368 141-144 all

Similar presentations

OK

Precalculus Functions & Graphs 5.3 B Trig Functions of Real Numbers Notes 0.

Precalculus Functions & Graphs 5.3 B Trig Functions of Real Numbers Notes 0.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on water activity of foods Ppt online to pdf Free download ppt on diversity in living organisms class 9 Ppt on statistics in maths lesson Ppt on holographic technology news Ppt on verbs for grade 3 Ppt on fibonacci numbers definition Ppt on column chromatography set Ppt on mughal empire in india Ppt on folk dances of india