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graphing tangent and cotangent pdf

First off, the amplitude is not an accurate factor for the tangent and cotangent functions because they both depart from the x-axis to infinity on both ends. The Tangent Function Analyze the tangent function graph We now analyze why the graph of f(x) = tan x behaves the way it does. It will have zeros where the cosine function has zeros, and vertical asymptotes where the sine function has zeros. Section 5.6: Graphs of Tangent, Cotangent,Secant, and Cosecant. 4. In fact, it is a horizontal flip and shift of the tangent function, as well see shortly in the next example. It will have zeros where the cosine function has zeros, and vertical asymptotes where the sine function has zeros. The period is given by B S. Find two consecutive asymptotes by setting B x C equal to 0 and S and then solve for x. View Graphing_tangent_and_cotangent_functions_practice.pdf from MATH 101 at Parsippany High. Period: The period of the graph is the horizontal For = (!) Warm-up: Find the equation of the curve below.It shows the AC current from household outlet.

How to graph tangent and cotangent The biggest thing to remember here is that both these functions have as their default period instead of 2. Graphing tangent and cotangent functions Practice Worksheet Example: y = tan 4 x y = tan 4 x 8 period Examples: 1) 2) ! It will have zeros where the cosine function has zeros, and vertical asymptotes where the sine function has zeros. 10/26 4.6 Graphing Secant and Cosecant . 2. Notes page 6 and evens pages 7 to 9 Worksheet 7 to 9 odds Friday . cot x will have asymptotes at the zeros of the sine function (Figure 4.48) and zeros at the zeros of the cosine function (Figure 4.49). 5) Draw the basic shape of tangent or cotangent within the asymptotes. 5. : =0 and = # $ Step 3: Find the x-intercept between the two asymptotes. + 24) y = 4tan (2q - 2p 3) - 2 5) y = 3cot (q 2 + p 4) - 26) y = 1 2 tan (q 3 - 5p 6) + 1. State the domain and range. (0, 1) Graphing Tangent Functions: The domain of y x= tan is the set of all real numbers except numbers of the form 2 ,+k where k is an integer. The domain is Rn 2 +n. Graphing & Writing Secant, Cosecant, Tangent and Cotangent Functions Date Topic Assignment Did It Fri 11/2 4.6 Graphing Secant and Cosecant NOTES p.1 & 2 Worksheet p. 3, 4 (#5 12) Mon 11/5 4.6 Graphing Tangent and Cotangent NOTES p. 5 Worksheet p. 6, 7 (#3 10) Tues 11/6 4.6 Graphing all 4: sec, csc, tan, cot pc_unit_10.4_n_key_v2.pdf: File Size: 2088 kb: File Type: pdf: Download File. Tangent function: sin( ) ()nat cos( ) x fx x x = =; Vertical asymptotes: when . Domain : all real x x k + (k) 2 Properties of y = tan x period: To graph y = tan x, use the identity . by. PDF. and = (!) Lesson Summary The tangent function tan( )=sin() cos() is periodic with period . acyclovir cream price cvs; is h264 or h265 better for youtube; carbon county utah property records; raspberry pi ip67 case; what does 3 red hearts mean in texting from a guy Graphing Tangent and Cotangent Functions The tangent function is not defined for all values of x, so its respective graph will have vertical asymptotes at Coo ) The Parent Gra h o Tan ent: Tangent Y = tan x Clio) GliD) cose X When / z- Domain: Range: The tangent function is Qd,, so it has Symmetry Periodic with a period of x-intercepts Angela Cala. It will have zeros where the cosine function has zeros, and vertical asymptotes where the sine function has zeros. pc_unit_10.4a_hw_key_v3.pdf: File Size: 2786 kb: File Type: pdf: Download File. The current lesson is devoted to examining graphs of the remaining trigonometric functions: the tangent,cotangent,secant,and cosecant. Math 1316 Section 4.3 Class Notes 1 Graphs of the Tangent and Cotangent Functions Print to PDF without this message by purchasing novaPDF (http://www.novapdf.com/) Graphing & Writing Secant, Cosecant, Tangent and Cotangent Functions Date Topic Assignment Did It Fri 11/2 4.6 Graphing Secant and Cosecant NOTES p.1 & 2 Worksheet p. 3, 4 (#5 12) Mon 11/5 4.6 Graphing Tangent and Cotangent NOTES p. 5 Worksheet p. 6, 7 (#3 10) Tues 11/6 4.6 Graphing all 4: sec, csc, tan, cot The tangent (BC) and cotangent (ED) functions are the lengths of the line segments tangent to the unit circle from the axis to the terminal ray of angle . Read PDF Tangent And Secant Transformations Answer Key1 Graphing the Secant Graph with Multiple Transformations Learn to find the range of the secant function Graphs of Transformations of Tan, Sec, Cot, Csc Tangent \u0026 Cotangent Graphs w/ Transformations 6.5 Graphs of the Tangent, Cotangent, Secant and Cosecant Functions Page 8/35

The tangent (BC) and cotangent (ED) functions are the lengths of the line segments tangent to the unit circle from the axis to the terminal ray of angle . Notes - Graphing Tangent + Practice All Real Numbers Except x = Date: We will begin graphing our new tangent curves the same way we do when we encounter anything new.. .with a chart!! Tue., Nov 6th Graphing Secant, Cosecant, Tangent and Cotangent Functions Book reference Sec 4.6 p. 332 Assignment Day 1 Graphing Wed., Nov 7th Graphing Others Day 2 Graphing plus Asymptote worksheet Thurs., Nov 8th Writing Equations and Graphing Writing Worksheet # 1 & 2 Fri., Nov 9th QUIZ over Other Graphing Begin Graphing Inverse Trig Functions Graphing Tangent and Cotangent Name_____ Period____ r _2n0J1J6E lKquBtEaQ WSDoLfctkwgaDr_eT bLDLBCa.I E gA[lhlN wrriwgvhgt_sJ UrCeYsAegrWvyeRd`. 5) Use the asymptotes as you draw the tangent graph. Periods Cosecant, secant, and cotangent are periodic functions. 2. Graphing One Period of a Stretched or Compressed Tangent Function. At each halfway point, the value of the function is Precalculus: Graphs of Tangent, Cotangent, Secant, and Cosecant Practice Problems Questions 1. Features of the Graph of Cotangent The cotangent graph has period Cotangent has domain k, where k is an integer Cotangent has range of all real numbers, ( , ) Domain : all real x x k + (k) 2 Properties of y = tan x period: To graph y = tan x, use the identity . 2) Find the midpoints. The new x-values are found using _x+c, and the new y-values are found using ay+d. 1) Graphing Tangent y = a tan (bq - c) + d 0) Know the shape (2 asymptotes/not a wave) 1) Find "Amplitude" and Period (p/b) 2) Start by plotting the middle at (0,0) unless "C" or "D". Agenda: "c s o in s x x ". -For tangent: 2 < < 2-For cotangent: 0< < (The endpoints are the asymptotes.) Section 5.3b - Graphs of Tangent and Cotangent Functions .

g. Find all -values where tan( )=cot( ) on the interval (0,2). acyclovir cream price cvs; is h264 or h265 better for youtube; carbon county utah property records; raspberry pi ip67 case; what does 3 red hearts mean in texting from a guy 14. Graph Pattern: Use three dots per cycle which correspond to the three ticks between the vertical asymptotes.

Tangent function: sin( ) ()nat cos( ) x You can take the graph of either of these basic functions and draw the graph of a more complicated function by making adjustments to the key elements of the basic function. cos(x) =0, that is , 2 5, 2 3, 2 x = Domain: 35, ,, 22 2 x Range: (, ) x-intercepts: when y=2tanx 2 ! We can check that these identities are true by using that sine is an odd function and that cosine is even: The graph is symmetric with respect to the origin, so the function is odd. Updated: 08/26/2021 Create an account Practice: Graphing Tangent, Cotangent, Secant and Cosecant. : = # %$ and = # %$ For = (!) PreCalc A Unit 2: Graphing Trig Functions precalculus notes section 4 functions , identities and formulas, graphs : domain, range and transformations Trigonometry Graphing Match-Up Task Cards Activity is a fun way to practice transformations in PreCalculus Handwriting Worksheets Handwriting Worksheets . 2 The midpoint between these two vertical asymptotes will be an x-intercept. EXAMPLE 1 Graphing a Tangent Function Describe the graph of the function y =-tan 2x in terms of a basic trigonometric The Phase Shift is equal to . It will have zeros where the cosine function has zeros, and vertical asymptotes where the sine function has zeros. Title: Graphing tangent and cotangent functions practice (1).pdf Author: GVUser Created Date: 1/8/2016 9:08:47 AM It also has a period of However, from the identity you can see that the cotangent function has vertical asymptotes when is zero, which occurs at where is an integer. Wednesday, September 10, 2014 2:03 PM Section 5.6 Graphs of tangent, cotangent, secant, and cosecant Page 1 This video goes over how to graph the tangent and the cotangent from the unit circle. Using the sliders below the graph, you can change:The amount of energy in the wave by changing the amplitude, aThe frequency the wave by changing bThe phase shift of the wave by changing cThe vertical displacement of the wave by changing d The cotangent function is the reciprocal of the tangent function. Graphs of Trig Functions Name_____ Date_____ Period____-1-Find the amplitude, the period in radians, the phase shift in radians, the vertical shift, and the minimum and maximum values.

This video goes over how to graph the tangent and the cotangent from the unit circle. However, they can be transformed by being vertically stretched or compressed. Notice that it takes radians for the values of the tangent and cotangent to make one complete cycle. 1) y = tan 2 2) y = tan 2 3) y = tan ( + 5 4) 4) y = tan ( 4) 5) y = 1 + tan 6) y = tan + 2 7) y = tan ( 2) 2 8) y = 1 + tan ( 3 4) 9) y = 3tan 10) y = 1 2 tan 11) y = 1 2 It is periodic with period . Period: 4. It will look like the cosine function where the sine is essentially equal to 1, which is when xis near. + 24) y = 4tan (2q - 2p 3) - 2 5) y = 3cot (q 2 + p 4) - 26) y = 1 2 tan (q 3 - 5p 6) + 1. y = 3tan(x/2) 2. Essentially you are just graphing a curve like y = x3 a bunch of times. Math 1316 Section 4.3 Class Notes 3 Examples: Graph each function over a one-period interval. Be able to state a set of x coordinates that lead to a given y coordinates using sequences. The graph of y = cot x will have asymptotes at the zeros of the sine function (Figure 4.51) and zeros at the zeros of the cosine function (Figure 4.52). Math 1316 Section 4.3 Class Notes 1 Graphs of the Tangent and Cotangent Functions Print to PDF without this message by purchasing novaPDF (http://www.novapdf.com/) Graphing Tangent Transformations Graph each function using radians. Cosecant and cotangent are odd functions, meaning that csc( ) = csc( ) and cot( ) = cot( ). 3. For = (!) The domain is Rn 2 +n. For = (!) 6.3 - Graphing the Tangent and Cotangent Trig Functions O sin x O cos x O f(x) = Tan x tan x (b Q\fA) Today's Objectives: 1 .ldentify the graphs of the tan and cot curves. 2. How to graph tangent and cotangent The biggest thing to remember here is that both these functions have as their default period instead of 2. The new x-values are found using _x+c, and the new y-values are found using ay+d. A tangent graph is commonly described by 4 components. Period: 4. Describe the graph of the function in terms of basic trigonometric functions. 3. (0, 1) Graphing Tangent Functions: The domain of y x= tan is the set of all real numbers except numbers of the form 2 ,+k where k is an integer. In order to graph tangent and cotangent functions using transformations, begin with the parent table of values. Then sketch the graph using radians. and = (!) GRAPHING 3 TRIGONOMETRIC FUNCTIONS 123 3.1 Basic Graphs 3.2 Graphing sin Bx and cos Bx 3.3 Graphing sin(Bx C) andcos(Bx C)3.4 Additional Applications 3.5 Graphing Combined Forms y k A y k A y k A y k A 3.6 Tangent, Cotangent, Secant, and Cosecant Functions Revisited Chapter 3 Group Activity: 6 UNDERSTAND HOW ANGLES ARE MEASURED Since Trigonometry focuses on relationships of sides and angles of a triangle, lets We can also find the tangent and cotangent function values using the quotient identities . OBJECTIVE 1: Understanding the Graph of the Tangent Function and its Properties Recall that y=tanx can equivalently be written y = sin x cosx. 5. 1) y = 2sin (q - 150) - The range of cotangent is ( , ), and the function is decreasing at each point in its range. A) y = 3 tan (x) A tangent graph is commonly described by 4 components. y = 3tan(x/2) 2. Section 7.7: Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions The tangent function, f(x) = tanxhas the following properties: 1. The graph of the cotangent func-tion is shown in Figure 4.62. So graph the asymptotes first, and then the rest of the function. The tangent function has period . f(x) = Atan(Bx C) + D is a tangent with vertical and/or horizontal stretch/compression and shift. Graphing Tangent Functions Name_____ Date_____ Period____ V s2o0M1^8U qKluxtxay TSWo[fBtSwNamrweq tLtL`Ct.S E dAHl\l` IrFiQgCh^txsy \rFeqsqeCrBvaecd[.-1-Find the period in radians, the phase shift in radians, and the vertical shift. Graphing Tangent and Cotangent Functions Graphs of = (!) Recall also that division by zero is never allowed. It is an odd function, so it is symmetric about the origin. OBJECTIVE 1: Understanding the Graph of the Tangent Function and its Properties Recall that y=tanx can equivalently be written y = sin x cosx. Section 5.3b - Graphs of Tangent and Cotangent Functions . Exercise 7 page 174: y f (x) tan4x. a Stretch the graph vertically from the middle a units. Readers ask: How Do You Graph A Tangent Graph?Find the vertical asymptotes so you can find the domain. These steps use x instead of theta because the graph is on the xy plane.Determine values for the range.Calculate the graphs x-intercepts.Figure out whats happening to the graph between the intercepts and the asymptotes. Graph of the Tangent Function 2. Thus, cot x = cos x sin x. Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies Inc,SMART Board Interactive Whiteboard Cosecant and se- and tangent. Graph each function using radians. Identify transformations of these curves (horizontal/vertical shifts, amplitude, and period). Cosecant and se- and tangent. Precalculus: Graphs of Tangent, Cotangent, Secant, and Cosecant The Cotangent Function The tangent function is cotx= cosx sinx. 5. Tangent function: sin( ) ()nat cos( ) x fx x x = =; Vertical asymptotes: when . Precalculus: Graphs of Tangent , Cotangent , Secant, and Cosecant The Cotangent Function The tangent function is cotx= cosx sinx. sin(x) =0 , that is . It is an odd function, so it is symmetric about the origin. Read PDF Tangent And Secant Transformations Answer Key1 Graphing the Secant Graph with Multiple Transformations Learn to find the range of the secant function Graphs of Transformations of Tan, Sec, Cot, Csc Tangent \u0026 Cotangent Graphs w/ Transformations 6.5 Graphs of the Tangent, Cotangent, Secant and Cosecant Functions Page 8/35

The range is (1 ;1). 10/27 4.6 Graphing Tangent and Cotangent. Since the sine is 0 at and at the multiples of, the cotangent is undefined at these points. 3.Graph these curves by hand and on the calculator. State the domain and range. Graph the Tangent and Cotangent Functions. 15. Range: (, +) 3. 2. You can graph a secant function f (x) = sec x by using steps similar to those for tangent and cotangent. Goal: To graph these trig functions Section 5.6: The graphs of Tangent, Cotangent, Secant, and Cosecant Thursday, January 30, 2014 12:44 PM Section 5.6 The graphs of Tangent, Cotangent, Secant, and Cosecant Page 1 pc_unit_10.4b_hw_key_3.pdf: File Size: 1794 kb: File Type: pdf: Download File. Exercise 7 page 174: y f (x) tan4x. The domain is Rn 2 +n. : =0 Unit 10.4 - Graphing Tangent & CoTangent Notes. The Graphs of Tangent, Cotangent, Cosecant, and Se-cant Were going to nd the graphs of these function using the same method we used for sin(x) and cos(x). The range is (1 ;1). Because cotangent is the quotient of cosine divided by sine, and. 2) Find the midpoints. The Period is equal to .

Note: If & M0, all points Graphing Tangent, Cotangent, and Friends Name_____ Date_____ Block____ \ q2n0Y1f7` JKzuAtVa` GSBoMfWtrwFacrGeG aLYL\CM.j C pAHljl` qrIiSgAhxtRsK FrLeJszecrNv`evdn.-1-Graph each function using degrees. x y = tan (4x) Math 1316 Section 4.3 Class Notes 4 Exercise 13 page 174: y f (x) cot 3x. Be able to graph multiple periods of tangent and cotangent function. Example: Graph the functions. Locate the vertical asymptotes and sketch two periods of the function. It will be a little more complicated than before, because these : =0 4. : =0 and = # $ Step 3: Find the x-intercept between the two asymptotes. Wednesday, September 10, 2014 2:03 PM Section 5.6 Graphs of tangent, cotangent, secant, and cosecant Page 1 Section 7.7: Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions The tangent function, f(x) = tanxhas the following properties: 1. The range is (1 ;1). 7.6 Graphs of the Sine and Cosine Function Graph each function using degrees. Notice that it takes radians for the values of the tangent and cotangent to make one complete cycle. Examples: 1) 2) ! 1) y = tan 2 2) y = tan 2 3) y = tan ( + 5 4) 4) y = tan ( 4) 5) y = 1 + tan 6) y = tan + 2 7) y = tan ( 2) 2 8) y = 1 + tan ( 3 4) 9) y = 3tan 10) y = 1 2 tan 11) y = 1 2 3. f cotxx Period: S Vertical Asymptote: x kS, k is an integer. Section 7.3 The Graphs of the Tangent, Cosecant, Secant, and Cotangent Functions. Graphs of cosecant, secant, and cotangent 274 0 0. 5) Draw the basic shape of tangent or cotangent within the asymptotes. It follows from the denitions of the trig The current lesson is devoted to examining graphs of the remaining trigonometric functions: the tangent,cotangent,secant,and cosecant. Section 7.7: Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions The tangent function, f(x) = tanxhas the following properties: 1. Derive an identity for tan(2+) from the graph. It will look like the cosine function where the sine is essentially equal to 1, which is when xis near. Quiz : parent functions sec, csc, tan, cot Finish Worksheets Range: (, +) 3. Agenda: Graphing Tangent and Cotangent Functions The tangent function is not defined for all values of x, so its respective graph will have vertical asymptotes at Coo ) The Parent Gra h o Tan ent: Tangent Y = tan x Clio) GliD) cose X When / z- Domain: Range: The tangent function is Qd,, so it has Symmetry Periodic with a period of x-intercepts How to graph y A Bx C cot( ): 1. cotangent is undefined when the sine function is 0.

3) Take half a period more and less from the middle to draw the 32 asymptotes. Graphs of the Tangent and Cotangent Functions .

acyclovir cream price cvs; is h264 or h265 better for youtube; carbon county utah property records; raspberry pi ip67 case; what does 3 red hearts mean in texting from a guy Solve the equation cscx = 1 in the interval 2 x 5/2. Practice: Graphing Tangent, Cotangent, Secant and Cosecant. Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies Inc,SMART Board Interactive Whiteboard Recall also that division by zero is never allowed. A) y = 3 tan (x) We can check that these identities are true by using that sine is an odd function and that cosine is even: Precalculus: Graphs of Tangent, Cotangent, Secant, and Cosecant The Cotangent Function The tangent function is cotx= cosx sinx. Find an x-intercept by taking the average of the two points on the x-axis where consecutive asymptotes pass. Vertical asymptotes: x = k + (k) 2 1. 2. The graph of y = cot x will have asymptotes at the zeros of the sine function (Figure 4.51) and zeros at the zeros of the cosine function (Figure 4.52). FOLLOW-UP Students will be able to generate the graphs for the tangent, cotangent, secant, Tangent: Think Low Medium High, positive slope, or always increasing Cotangent: Think High Medium Low, positive slope or always decreasing. The Graphs of Tangent, Cotangent, Cosecant, and Se-cant Were going to nd the graphs of these function using the same method we used for sin(x) and cos(x). Section 5.3b Graphs of the Tangent and Cotangent Functions 3 The Graph of Cotangent Recall: cos cot sin x x x so where cos 0x, cot x has an x- intercept and where sin 0x, cot x has an asymptote. However, they can be transformed by being vertically stretched or compressed. A cycle of the cotangent function has two asymptotes and a zero pointhalfway in between. Graphing Quiz Review (Cosine, Sine, Secant, Cosecant + Tangent and Cotangent WS) Name_____ A F2h0V1e7e GKluBtlax ASEoXfUtzwKazrrec _LmLnCB.k F BALlAlt Urhisgoh]tSs` VrheTsdeYrNvMemdi. 5.5A Graphs of Tangent & Cotangent Objective: To graph the tranformations of the tangent and IV.Graph the cotangent function The values of cot(x) will be the reciprocal values of tan(x). Goal: To graph these trig functions Section 5.6: The graphs of Tangent, Cotangent, Secant, and Cosecant Thursday, January 30, 2014 12:44 PM Section 5.6 The graphs of Tangent, Cotangent, Secant, and Cosecant Page 1 Thus, cot x! The cosine graph crosses the x-axis on the interval. 6.3 - Graphing the Tangent and Cotangent Trig Functions O sin x O cos x O f(x) = Tan x tan x (b Q\fA) Today's Objectives: 1 .ldentify the graphs of the tan and cot curves. 16 Example: L @ F A.

4) Find the "Amplitude" points. Students should be proficient working with the following families of Step 2: Find two neighboring vertical asymptotes. Period: The period of the graph is the horizontal Discuss the similarities and differences between the graphs of the tangent and cotangent functions. Essentially you are just graphing a curve like y = x3 a bunch of times. For which values of are the identities in Exercise 12 valid? Graphs of the Tangent and Cotangent Functions . In the previous lesson we constructed the graphs of the basic sine and cosine functions, and developed techniques for graphing more general waves related to these functions. Agenda: 1.4 The Tangent Function: y =tanx 1.6 The Secant Function y =secx its graph. 1 1 Cotangent Graph y = cot(x) The Cotangent Function f(x)=tanx - The graph is undefined Thus, cot x = cos x sin x. As with tangent and cotangent, the graph of secant has asymptotes. Identify transformations of these curves (horizontal/vertical shifts, amplitude, and period).

Section 43 Graphs of the Tangent and Cotangent.notebook 3 Cotangent Function The cotangent is defined to be (cosx)/(sinx). The equations of the vertical asymptotes are x = +2 ,k where k is an integer. 5.5A Graphs of Tangent & Cotangent Objective: To graph the tranformations of the tangent and IV.Graph the cotangent function The values of cot(x) will be the reciprocal values of tan(x). Graphing Tangent and Cotangent Name_____ Period____ r _2n0J1J6E lKquBtEaQ WSDoLfctkwgaDr_eT bLDLBCa.I E gA[lhlN wrriwgvhgt_sJ UrCeYsAegrWvyeRd`. Cosecant and cotangent are odd functions, meaning that csc( ) = csc( ) and cot( ) = cot( ). PreCalc A Unit 2: Graphing Trig Functions precalculus notes section 4 functions , identities and formulas, graphs : domain, range and transformations Trigonometry Graphing Match-Up Task Cards Activity is a fun way to practice transformations in PreCalculus Handwriting Worksheets Handwriting Worksheets . The secant (OC) and cosecant (OD) functions are the lengths on the rays (or secant lines), from the origin to its 2. Graph of the Cotangent Function The graph of the cotangent function is similar to the graph of the tangent function. x y = tan (4x) Math 1316 Section 4.3 Class Notes 4 Exercise 13 page 174: y f (x) cot 3x. Next page: Complete the table and graph 2 periods. Also, students practice identifying of inverese trigonometric function. could argue that all of the above identities extend to any value of for which the tangent (and cotangent for the last two) is defined. These are the x-intercept, the x-values where the asymptotes occur, and the x-values halfway between the x-intercept and the asymptotes. 3. The tangent function has period . f(x) = Atan(Bx C) + D is a tangent with vertical and/or horizontal stretch/compression and shift.