Graph of sine and cosine functions worksheet pdf

The basic graphs of sine and cosine have a period of 2 2. Graphs of the sine and cosine functions algebra and. Graphs of trigonometric functions berkeley city college. Amplitude and period for sine and cosine functions worksheet author. On top of understanding and being able to the functions of sin, cos, and tan. Either open the file and print or download and save an electronic copy and use when needed.

Graphs of the sine and cosine functions precalculus. Worksheets are graphing trig functions, amplitude and period for sine and cosine functions work, 1 of 2 graphing sine cosine and tangent functions, graphing sine and cosine work 1, honors algebra 2 name, graphs of trig functions, mslc workshop series math 1149 1150 workshop graphs of. Graphs of trigonometric functions worksheet pdf dsoftschools. This resource explains how to generate the graphs of sine, cosine and tangent. Free trigonometry worksheets, in pdf format, with solutions to download. Sine and cosine are periodic functions, which means that sine and. An overview of important topics governors state university. Then sketch the graph of the function over the interval. Graphs of the sine and cosine functions mathematics. Graphing sine cosine with phase shifts worksheet with answers. Zit give the amplitude and period of each function. Feb 22, 2016 this trigonometry and precalculus video tutorial shows you how to graph trigonometric functions such as sine and cosine functions using transformations, phase shifts, period, and amplitude.

Graphing sine and cosine group exploration activity 1. After you get this graph, you would shift the graph down 5 units. Graphing the sine and cosine functions lesson plan for 10th. So what do they look like on a graph on a coordinate plane.

M3u6l04 translations of sine and cosine functions 2p class notes. In this activity, students will practice graphing sine and cosine functions as they work through 16 task cards. Graphing trig functions can be graphed on to an xyplane xcoordinates are in radians ycoordinates are the resuleot the trigonometric function at a particular radian value if graphed on calculator in degrees, correct graph will not appear start with sinusoidal functions sine and cosine o real life sinusoidal functions. The graphs of all sine and cosine functions are related to the graphs of y sin x. Sinusoidal function graph worksheets lesson worksheets. Learners use spaghetti to discover the relationship between the unit circle and. Some of the worksheets displayed are graphing trig functions, graphs of trig functions, work 15 key, 1 of 2. Precalculus name amplitude amplitude amplitude 4 cos 5x. Worksheets are sinusoidal functions work, precalculus chapter 6 work graphing sinusoidal, amplitude and period for sine and cosine functions work, graphs of trig functions, graphing sinusoidal functions, of the sine and cosine functions, graphing trig functions. If you found these worksheets useful, please check out inverse trigonometric functions worksheet pdf, segments in circles worksheet pdf, tangents to circles worksheet pdf, angles in circles worksheet pdf, circumscribed and inscribed circles worksheets, law of sines and cosines w orksheet pdf, double angle and halfangle identities with answers. Graph sine, cosine, and tangent functions later in chapter 10, we will use sine and cosine graphs to create mathematical equations the can be used to learn about cell phones, tides, satellites, ferris wheels and car engines. Determine the vertical shift, and draw the midline. It includes pupil worksheets used in the powerpoint in word and pdf form.

Graph one complete period of the given sine or cosine curve. It also goes on to look at translations and reflections of the trig functions. Amplitude and period for sine and cosine functions worksheet determine the amplitude and period of each function. Free worksheet pdf and answer key on graphing sine, cosine,tangent with phase shifts. Free worksheet pdf and answer key on change in period for the equations and graphs of sine, cosine and tangent.

Displaying all worksheets related to graphing sine and cosine. In exercises 1 12, graph one cycle of the given function. Find an equation for the sine or cosine wave when finding the equation for a trig. Sine and cosine graphs with videos, worksheets, games. Students will also identify the amplitude and period of each graph. Displaying all worksheets related to sinusoidal function graph. Changes in amplitude and period as well as phase shifts are nothing. Understand key features of graphs of trig functions o graph of the sine function o graph of the cosine function o key features of the sine and cosine function o graph of the tangent function o key features. Recall that the sine and cosine functions relate real number values to the x and ycoordinates of a point on the unit circle. You can use these points to sketch the graphs of y a sin bx and. Statethe period, amplitude, phase shift andvertical shift of thefunction. For a and b graph the parent function y sinx as well for. Section graphs of sine and cosine functions objectives. Free worksheetpdf and answer key on grpahing sine and cosine curves.

Find the equation of a sine or cosine graph solutions. Writing equations of sine and cosine functions examine the graph below and determine the amplitude, period, phase shift, and vertical shift of each usin cosine as the arent function. The graphs of all sine and cosine functions are related to the graphs of. Then brings in sketching a comparison of the sine and cosine functions. Amplitude using your calculator, graph the curve which results from each function. Worksheet 15 graphing trigonometric functions in exercises1 12, graphone cycleof thegiven function. To graph this function you would initially ignore the. Graphing the sine and cosine functions lesson plan for.

Start by graphing the parent function y sin o if there is no period change b. Graphs of sine and cosine the least such positive number if it exists is the period of f. You can use these points to sketch the graphs of y a sin bx and y a cos bx. If you found these worksheets useful, please check out inverse trigonometric functions worksheet pdf, segments in circles worksheet pdf, tangents to circles worksheet pdf, angles in circles worksheet pdf, circumscribed and inscribed circles worksheets, law of sines and cosines w orksheet pdf. Sine cosine and tangent practice worksheets kiddy math. Oct 21, 2019 if you found these worksheets useful, please check out inverse trigonometric functions worksheet pdf, segments in circles worksheet pdf, tangents to circles worksheet pdf, angles in circles worksheet pdf, circumscribed and inscribed circles worksheets, law of sines and cosines w orksheet pdf, double angle and halfangle identities with answers. Learners use spaghetti to discover the relationship between the unit circle and the graph of the sine and cosine functions. The xintercepts, maximum, and minimum occur at these points. Students will match 10 graphs to 10 sine or cosine equations by finding the amplitude and period of each function. Before, getting on to solving trigonometric equations using the graphs. Graphing sine cosine with phase shifts worksheet with.

Worksheets are graphing trig functions, amplitude and period for sine and cosine functions work, 1 of 2 graphing. Mar 03, 2019 this resource explains how to generate the graphs of sine, cosine and tangent. Graphing sine and cosine worksheets lesson worksheets. Sine cosine and tangent practice displaying top 8 worksheets found for this concept some of the worksheets for this concept are sine cosine and tangent practice, sine.

We were able to make a plot of the change in position of the bug as he. Graphing sine and cosine group exploration activity. Graphing sine functions worksheets teacher worksheets. We can create a table of values and use them to sketch a graph. Worksheets are sinusoidal functions work, precalculus chapter 6 work graphing sinusoidal, amplitude and period. Mar 18, 2015 lesson starts with plotting the graphs of sine, cosine and tangent functions. Sketch the graph of the function over the interval 2. The following diagram shows how to find the equation of a sine graph. Videos, worksheets, games and activities to help algebra 2 students learn about the sine and cosine graphs. Graphs of the sine and cosine function precalculus ii. If f has period p, then the graph of f on any interval of length p is called one complete period of f. The graphs of sine, cosine and tangent teaching resources. It includes pupil worksheets used in the powerpoint in word and pdf.

First we need to learn about the characteristics of sine, cosine and. Both of these functions are defined on a domain of all real numbers, since we can evaluate the sine and cosine of any angle. This presentation is a thorough interactive introduction to the graphs of sine and cosine functions, intended to be used after students learn the unit circle. Graphing sine, cosine, and tangent functions classzone. Recall that the sine and cosine functions relate real number values to the \x\ and \y\coordinates of a point on the unit circle. They will then ask you to identify the correct graph. Then graph of the function over the interval 27t x 21t.

This graphing the sine and cosine functions lesson plan is suitable for 10th 12th grade. So the sine and cosine functions repeat their values in any interval of length 2. More specifically, students will identify the domain and range of a sine or cosine function. Students will then identify the amplitude and period of other sine and cosine functions, although they will not be required to graph. Graphing sine and cosine trig functions with transformations. Graph trigonometric functions 1, cosine function with solution. Step 4 connect the five key points with a smooth curve and graph one complete. Lesson finished with an interactive plenary where students need to evaluate trigonometric values. Using degrees, find the amplitude and period of each function. Understand key features of graphs of trig functions o graph of the sine function o graph of the cosine function o key features of the sine and cosine function o graph of the tangent function o key features of the tangent function o practice solutions back to table of contents. The basic graphs of sine and cosine have a period of. Honors algebra 2 name flagstaff unified school district.

Trigonometry math 50 graphs of trigonometric functions. Without graphing the function, determine its amplitude or period as requested. Amplitude and period for sine and cosine functions worksheet. Graphing sine and cosine henry county school district. Graphing sine and cosine fill in the blanks and graph. Period of sine, cosine, tangent, worksheet with answers. Graphing sine and cosine functions find each value by referring to the graph of the sine or the cosine function. Print graphing sine and cosine transformations worksheet. How to determine the equation of a sine and cosine graph, examples and step by step solutions, how to identify the graph of a stretched cosine curve, trigonometric videos, worksheets, games and activities that are suitable for algebra 2 students. Showing top 8 worksheets in the category graphing sine functions.