Graphing sine and cosine practice
What is the difference between a sine graph and a cosine graph?
The difference between sine and cosine is a shift of 90 degrees meaning that when sine is moved 90 degrees to the left or right it will become identical to the cosine function with its graph being superimposable on each other.
How do you graph cosine functions?
Thus, the two graphs are shifts of 1/4 of the period from each other. Just as with the sine graph, you use the five key points of graphing trig functions to get the parent graph of the cosine function, f(x) = cos x. If necessary, you can refer to the unit circle for the cosine values to start with.
How is the sine related to the cosine?
Identities Reciprocal. The reciprocal of sine is cosecant, i.e., the reciprocal of sin (A) is csc (A), or cosec ( A ). Inverse. The usual principal values of the arcsin (x) function graphed on the Cartesian plane. ... Calculus Other trigonometric functions. The sine and cosine functions are related in multiple ways. ... Sine squared function. ...
What is the domain and range of a sine graph?
Domain and range: From the graphs above we see that for both the sine and cosine functions the domain is all real numbers and the range is all reals from −1 to +1 inclusive. For the tangent function the domain is all real numbers except ±π/2, ±3π/2, ±5π/2, …, (or in degrees: ±90°, ±270°, ±450°, …), where the tangent function is undefined.
[PDF File]00i PCCRMC04 893805
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Oct 04, 2011 · Write a sine function with the given characteristics. Study Guide and Intervention Graphing Sine and Cosine Functions Example x y 0 1 4 4π 3 16π 3 28π 3 40π 3 4-4 5. amplitude = 2, period = 4, phase shift = −1, vertical shift 2 = 4 Sample answer: y = 2 sin (− π x 2 + π− 4) + 4 6. amplitude = 1.2, phase shift = −3π, vertical shift ...
[PDF File]18.1 Stretching, Compressing, and Reflecting Sine …
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Graphing the Basic Sine and Cosine Functions Recall that the points around the unit circle have coordinates (cos O, sin O) as shown. (cos O, sin O) Identify the following points on the graph of the sine function on the interval [0, 27r]. A. the three points where x-intercepts occur
[PDF File]NAME DATE PERIOD 6-3 6-3
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Graphing Sine and Cosine Functions Find each value by referring to the graph of the sine or the cosine function. 1. cos 2. sin 3 2 3. sin 7! 2! 1 1 1 Find the values of •for which each equation is true. 4. sin !"0 5. cos !"1 6. cos !"! 1 n, where n n, where n n, where n is is any integer is an even integer an odd integer
[PDF File]Pre-Calculus 10.1 Graphing Sine and Cosine Name: 1
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10.1 Practice – Graphing Sine and Cosine Name: _____ Pre‐Calculus For 1 ‐ 3, identify the amplitude, period, frequency and vertical shift of each function.
[PDF File]Graphing Sine and Cosine Group Exploration Activity
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Graphing Sine and Cosine Group Exploration Activity Sketch the curve which results from graphing the following functions. Draw a solid line for the first cycle of the curve, and a dotted line for the full (-2π, 2π) range like in the graphs above. Make sure to determine all of the important information/points. a) = (2 @ +𝜋 3 A)
[PDF File]4.4 Graphing Sine and Cosine Functions
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Describe how the graphs of f(x) = cos x and g(x) = –6 cos x are related. A. The graph of g(x) is the graph of f(x) expanded horizontally and then reflected in the y-axis. B. The graph of g(x) is the graph of f(x) expanded vertically and then reflected in the x-axis. C. The graph of g(x) is the graph of f(x) expanded horizontally and then reflected in the x-axis.
[PDF File]Graphing Sine and Cosine Functions
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Practice Graphing Sine and Cosine Functions y x 0 π 2π 4π-1 1 f (x) = sin x g (x) = 1 sin x 3 y x π 2π 3π 4π-1 1 f (x) = cos x g (x) = - cos x 1 4 y 0 x 2 4-4-2π -π π 2π 0 x 2-2 4-π π π 2 π 2-4-4
[PDF File]Graphing Sine and Cosine Functions
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Section 9.4 Graphing Sine and Cosine Functions 487 Each graph below shows fi ve key points that partition the interval 0 ≤ x ≤ 2π — into b four equal parts. You can use these points to sketch the graphs of y = a sin bx and y = a cos bx.The x-intercepts, maximum, …
[PDF File]Graphing Sine and Cosine Extra Practice
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Graphing Sine and Cosine Name_____ Date_____ Period____ ©v I2`0M1U5i [KeugtGaf ]SKotfJtEw]airDeL \LeLeCr.H r xA_lNlB UrziagwhstQsn vrxeBsfeKrCvneId\.-1-Using radians, find the amplitude and period of each function. Then graph. 1) y …
[DOC File]Amplitude and Period for Sine and Cosine Functions Worksheet
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Name _____ Algebra 2 – More Practice with Sine and Cosine Graphs Period _____ Determine the amplitude and period of each function. (Write Period in Radians)
[DOC File]University of Georgia
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Notes on Exploring Sine and Cosine Graphs Learning Task. Supplies: Graphing calculators or a graphing utility on a computer. Notes: This task is designed to give students a chance to explore and make conjectures about the nature of the sine and cosine graphs.
[DOC File]Graphing Sine and Cosine – Worksheet #1
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Graphing Sine and Cosine – Worksheet #1 Author: chris.jackson Last modified by: kelly.noonan Created Date: 10/17/2012 9:18:00 PM Company: Fortbend ISD Other titles: Graphing Sine and Cosine – …
[DOC File]Graphing Sine and Cosine – Worksheet #1
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Title: Graphing Sine and Cosine – Worksheet #1 Author: chris.jackson Last modified by: BPS Created Date: 1/6/2016 7:25:00 PM Company: Fortbend ISD
Algebra II/ Trig Honors Graphing Trig Functions Review ...
Shift 7. Cosine 0.6 4( None None 8. Sine 5 None Up 2 9. Cosine 15 4( Left Down 10 10. Sine Right none Find the equation of each graph: (assume no phase shifts have taken place) 11. 12. 13. Graph at least two cycles of each equation. Label each quarter point and asymptote. 14. y = 3 sec 2x 15. y = 5 tan 16. Graph two cycles of: y = sin. 0 (/3 (/6
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Using what you have learned about the graphs of the sine and cosine functions, practice graphing the functions by hand. You should be able to quickly sketch the graphs of these functions, making sure to include zero’s, intercepts, maximums and minimums. Be sure to create a smooth curve! Sine. Cosine
Amplitude and Period for Sine and Cosine Functions Worksheet
Author: marthasweeney Created Date: 04/24/2015 07:44:00 Title: Amplitude and Period for Sine and Cosine Functions Worksheet Last modified by: Windows User
[DOC File]TRIGONOMETRY
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Three basic functions are sine, cosine and tangent. They are written as sin θ, cos θ, and tan θ. Right triangle trigonometry - SOHCAHTOA. A. Find cos θ B. Find sin θ. C. Find tan θ D. Find sin θ Triangles in the Unit Circle. On the Unit Circle: I. Where functions are positive. II . …
[DOC File]F.IF.C.7.GraphingTrigonometricFunctions.doc
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2 On the axes below, graph one cycle of a cosine function with amplitude 3, period , midline , and passing through the point . 3 A radio wave has an amplitude of 3 and a wavelength (period) of meters. On the accompanying grid, using the interval 0 to , draw a possible sine curve for this wave that passes through the origin.
[DOC File]Math II Unit 6
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Using what you have learned about the graphs of the sine and cosine functions, practice graphing the functions by hand. You should be able to quickly sketch the graphs of these functions, making sure to include zero’s, intercepts, maximums and minimums. Be sure to create a smooth curve!
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