Chapter 6: Q. 50 (page 419)

graph each function
$f (x) = \{\begin{cases} c s c x & 0 < x < π \\ 0 & x = π \\ c o t c & π < x < 2 π \end{cases}$

Short Answer

Expert verified

The graph of $f (x) = \{\begin{cases} c s c x & 0 < x < π \\ 0 & x = π \\ c o t c & π < x < 2 π \end{cases}$ is

Step by step solution

Step 1. Given data

The given function is

$f (x) = \{\begin{cases} c s c x & 0 < x < π \\ 0 & x = π \\ c o t c & π < x < 2 π \end{cases}$

Step 2. Points of f(x)=csc x

Consider different values of x from $(0, \infty)$ for $f (x) = c s c x$ and determine several coordinates of points

Step 3. Points of

Consider different values of x from $(π, 2 π)$ for $f (x) = c o t x$ and determine several coordinates of points

Step 4. Graph of the function

Use the coordinates of points and Plot the graph of $f (x) = \{\begin{cases} c s c x & 0 < x < π \\ 0 & x = π \\ c o t c & π < x < 2 π \end{cases}$

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graph each function
$f (x) = \{\begin{cases} c s c x & 0 < x < π \\ 0 & x = π \\ c o t c & π < x < 2 π \end{cases}$

Short Answer

Step by step solution

Step 1. Given data

Step 2. Points of f(x)=csc x

Step 3. Points of

Step 4. Graph of the function

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graph each functionf(x)=cscx0<x<π0x=πcotcπ<x<2π

Short Answer

Step by step solution

Step 1. Given data

Step 2. Points of f(x)=csc x

Step 3. Points of

Step 4. Graph of the function

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Statistics

Logic and Functions

Calculus

Geometry

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

graph each function
$f (x) = \{\begin{cases} c s c x & 0 < x < π \\ 0 & x = π \\ c o t c & π < x < 2 π \end{cases}$