Please make sure your use graph paper. Properly scale and label your axis. Show the asymptotes using a dashed line. 1. Given the trigonometric function y = tan x, find the period and asymptotes. Sketch a graph of this function on the interval п 3п - 2' 2 = cot x, find the 2. Given trigonometric function y = period and asymptotes. Sketch a graph of this function on the interval (—π, π). 3. How are the graphs of the trigonometric functions y = cot x and y = tan x similar and how are they different? 4. Given the trigonometric function y = sec x, find the period and asymptotes. Sketch a graph of this function on the interval п 3п , 2 2 5. Given the trigonometric function y = cscx has period and asymptotes x = -. Sketch a graph of this function on the interval (-π, π). 6. How are the graphs of the trigonometric functions y = sec x and y = cscx similar and how are they different

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 59E
Question

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Please make sure your use graph paper. Properly scale
and label your axis. Show the asymptotes using a dashed
line.
1. Given the trigonometric function y = tan x, find the
period and asymptotes. Sketch a graph of this
function on the interval
п 3п
-
2' 2
=
cot x, find the
2. Given trigonometric function y =
period and asymptotes. Sketch a graph of this
function on the interval (—π, π).
3. How are the graphs of the trigonometric functions
y
= cot x and y
=
tan x similar and how are they
different?
4. Given the trigonometric function y = sec x, find the
period and asymptotes. Sketch a graph of this
function on the interval
п 3п
,
2 2
5. Given the trigonometric function y
= cscx has
period and asymptotes x = -. Sketch a graph of
this function on the interval (-π, π).
6. How are the graphs of the trigonometric functions
y = sec x and y = cscx similar and how are they
different
Transcribed Image Text:Please make sure your use graph paper. Properly scale and label your axis. Show the asymptotes using a dashed line. 1. Given the trigonometric function y = tan x, find the period and asymptotes. Sketch a graph of this function on the interval п 3п - 2' 2 = cot x, find the 2. Given trigonometric function y = period and asymptotes. Sketch a graph of this function on the interval (—π, π). 3. How are the graphs of the trigonometric functions y = cot x and y = tan x similar and how are they different? 4. Given the trigonometric function y = sec x, find the period and asymptotes. Sketch a graph of this function on the interval п 3п , 2 2 5. Given the trigonometric function y = cscx has period and asymptotes x = -. Sketch a graph of this function on the interval (-π, π). 6. How are the graphs of the trigonometric functions y = sec x and y = cscx similar and how are they different
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