### Instructions:1. **Use a straightedge to draw an x- and y-axis.** - Use uniform lengths and mark (and label) your x-axis with multiples of $\frac{\pi}{2}$.2. **Graphing Tasks:** a. **Graph 2 periods of the function $ y = \sin x $, starting with $ x = 0 $.** b. **On the same rectangular coordinate system, graph two periods of the reciprocal of the sine function, $ y = \csc x $, starting at $ x = 0 $.** - To distinguish from the graph in part (a), either use a different color or use a dotted curve. c. **Show any vertical asymptotes using a dashed line.** - Ensure to use a straightedge for this step as well.3. **Note:** - **Full credit requires all instructions to be followed.**### Additional Explanation for Diagrams/Graphs:- **Sine Graph ($ y = \sin x $):** - The sine function is periodic with a period of $2\pi$. Therefore, for two periods, plot from $ x = 0 $ to $ x = 4\pi $. - Important points to label on the x-axis include $ 0, \frac{\pi}{2}, \pi, \frac{3\pi}{2}, 2\pi, \frac{5\pi}{2}, 3\pi, \frac{7\pi}{2}, $ and $ 4\pi $.- **Cosecant Graph ($ y = \csc x $):** - The cosecant function is the reciprocal of the sine function. It has vertical asymptotes wherever the sine function is zero (i.e., at $ x = 0, \pi, 2\pi, 3\pi, $ and $ 4\pi $). - The graph of $ y = \csc x $ will have vertical asymptotes at these points and will be undefined there. Between these asymptotes, the cosecant function will have parabolas opening upwards or downwards between the maximum and minimum points of the sine function.- **Vertical Asymptotes:** - Clearly mark and label the locations of the vertical asymptotes using a

Use a straightedge to draw an x- and y-axis. Use uniform lengths and mark (and label) your x-axis with multiples of 5 a. Graph 2 periods of the function y = sin x, starting with with x=0. b. On the same rectangular coordinate system, graph two periods of the reciprocal of the sine function, y = csc x, starting at x=0. To distinguish from the graph in part (a) either use a different color or use a dotted curve . . c. Show any vertical asymptotes using a dashed line -----. Be sure to use a straightedge. Full credit requires all instructions to be followed.

Use a straightedge to draw an x- and y-axis. Use uniform lengths and mark (and label) your x-axis with multiples of 5 a. Graph 2 periods of the function y = sin x, starting with with x=0. b. On the same rectangular coordinate system, graph two periods of the reciprocal of the sine function, y = csc x, starting at x=0. To distinguish from the graph in part (a) either use a different color or use a dotted curve . . c. Show any vertical asymptotes using a dashed line -----. Be sure to use a straightedge. Full credit requires all instructions to be followed.

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

See similar textbooks

Related questions

Q: For the following graphs, find the cosine function which represents each of -3

A: The general equation of the cosine function is: y = acos[b(t-c)]+d Where, a = amplitude =…

Q: snip

A: For the graph of y=Asinωx-ϕ, the number ϕω is called the ...........

Q: Find the period of the graph of y = - 2 sin O 67 01 O 3T O O O O

A: Given query is to find the period of the graph.

Q: Graph the funcions. What is the period of "Sin (x/2)" function?

Q: Consider the following graph on the interval -210° < x < 180°: -180 -150-120 -90 -60 -30 6 4 -3 N. 2…

A: Given is a graph where interval is 2100<x<1800 1. To Find: The Amplitude of the given…

Q: Graph r = 6sinθ.

A: We need to Graph r = 6sinθ.

Q: Which one of the following graphs shows all of the following features? Period of 12, Amplitude of 3,…

A: In this question, we want to identify the graph which satisfy the given features.

Q: Graph y= cos5x

Q: Graph the equation y = 2 tan 3x; Graph two complete cycles.

A: y=2tan3x The period of y=2tan3x is π3. Now put x=0, we get y=2tan30=2tan0=20=0 Therefore y-intercept…

Q: Find an equation to model the vertical motion of the tip of a second hand on a clock, if the second…

Q: Starting with the graph of y = ex, write the equation of the graph that results from the following…

Q: yMail Contact Navigator Student Moodle Help Student Wellness Faculty Moodle Help 15T graph A…

A: e is the euler number which is irrational. The value of e is e=2.71828... Now we have to check…

Q: graph

Question

### Instructions:

1. **Use a straightedge to draw an x- and y-axis.**
- Use uniform lengths and mark (and label) your x-axis with multiples of $\frac{\pi}{2}$.

2. **Graphing Tasks:**

a. **Graph 2 periods of the function $ y = \sin x $, starting with $ x = 0 $.**

b. **On the same rectangular coordinate system, graph two periods of the reciprocal of the sine function, $ y = \csc x $, starting at $ x = 0 $.**
- To distinguish from the graph in part (a), either use a different color or use a dotted curve.

c. **Show any vertical asymptotes using a dashed line.**
- Ensure to use a straightedge for this step as well.

3. **Note:**
- **Full credit requires all instructions to be followed.**

### Additional Explanation for Diagrams/Graphs:

- **Sine Graph ($ y = \sin x $):**
- The sine function is periodic with a period of $2\pi$. Therefore, for two periods, plot from $ x = 0 $ to $ x = 4\pi $.
- Important points to label on the x-axis include $ 0, \frac{\pi}{2}, \pi, \frac{3\pi}{2}, 2\pi, \frac{5\pi}{2}, 3\pi, \frac{7\pi}{2}, $ and $ 4\pi $.

- **Cosecant Graph ($ y = \csc x $):**
- The cosecant function is the reciprocal of the sine function. It has vertical asymptotes wherever the sine function is zero (i.e., at $ x = 0, \pi, 2\pi, 3\pi, $ and $ 4\pi $).
- The graph of $ y = \csc x $ will have vertical asymptotes at these points and will be undefined there. Between these asymptotes, the cosecant function will have parabolas opening upwards or downwards between the maximum and minimum points of the sine function.

- **Vertical Asymptotes:**
- Clearly mark and label the locations of the vertical asymptotes using a

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Fourier Transformation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.

Similar questions

Use transformations to graph the following function. y=4+ sin x ..... Select the graph that represents the given function. OA. OB. Oc. OD.
The point F in the graph has the coordinates ( 3 " D ✦ ).
2. Make a Sketch of the function graph: right up, left down
please write in a notebook and make sure its easy to read. i just D and E
pls graph and explain how to get amplitude, period, maximum, minimum, and intercepts
Sketch the graph of the equation.
y=xe Draw an accurate sketch of the graph.
Homework#5 Draw the following function: Y=A cosB + C Where: A= 1 , -1 , 3 , -3 (four values) B= 0° : 360° (as smooth as possible) C= 0 , 0.3 , 0.6 (three values) Notes: Put grid, title, x-axis and y-axis labels on the plot. Put all the curves on a single plot.
Convert to rectangular coordinates and graph p sin o = 2
Graph Plot as a point and label axes clearly and correctly for every multiple pi/6 and pi/4
Please answer all subparts. I will really upvote
q12