'Cosine function' diaporamas de présentation

Chapter 6

Chapter 6. Trigonometric Functions. Section 6.1. Angles and Their Measurement. Definition. An angle ? is said to be in standard position if its vertex lies at the origin of a cartesian coordinate system and the initial side lies on the positive x-axis. Terminal Side. y. ?. x. Vertex.

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Inverse Trigonometric Functions

Inverse Trigonometric Functions. Section 4.7. Objectives. Evaluate inverse trigonometric functions at given values. State the domain and range of each of the inverse trigonometric functions.

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Spring 2011

ECE 6345. Spring 2011. Prof. David R. Jackson ECE Dept. Notes 29. Overview. In this set of notes we use the spectral-domain method to find the input impedance of a rectangular patch antenna.

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Alternating-Current Circuits and Machines February 25 th , 2013

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Graphs of sine and cosine curves

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8 . Frequency Response Analysis

8 . Frequency Response Analysis. 8.0 Overview 8.1 The frequency response for a stable system 8.1.1 Simple system elements 8.1.2 First-order system 8.1.3 Second-order system 8.1.4 Systems of arbitrary order 8.1.5 Systems in series 8.1.6 Summary

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5.4 Sum and Difference Formulas

5.4 Sum and Difference Formulas. Addition and Subtract of the Sine function. With the sine function the sign between the expressions stays the same. Find the Sine of u + v. Find the Sine of u - v. Addition and Subtract of the Cosine function.

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Trigonometry Basics

Trigonometry Basics. Right Triangle Trigonometry. Sine Function. When you talk about the sin of an angle, that means you are working with the opposite side, and the hypotenuse of a right triangle. Sine function. Given a right triangle, and reference angle A:.

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Sine and Cosine

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GRAPHS OF

GRAPHS OF. SINE AND COSINE FUNCTIONS. y. 1. x. - 1. We are interested in the graph of y = f ( x ) = sin x. Start with a "t" chart and let's choose values from our unit circle and find the sine values. plot these points. x y = sin x.

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8.2 Sine and Cosine Curves

8.2 Sine and Cosine Curves. Period and Amplitude Changes. Periodic function keeps repeating the same pattern over and over The smallest period of a periodic function is called the fundamental period Amplitude. SINE FUNCTION. Period =2 ?. Amplitude = 1. COSINE FUNCTION. Period =2 ?.

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University Physics: Waves and Electricity

University Physics: Waves and Electricity. Ch1 7 . Longitudinal Waves. Lecture 5. Dr.-Ing. Erwin Sitompul. http://zitompul.wordpress.com. Homework 4 : Two Speakers.

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4.8 Applications and Models using Trigonometry

4.8 Applications and Models using Trigonometry . Given one side and an acute angle of a right triangle . Find the remaining parts of the triangle. . Given one side and an acute angle of a right triangle . Find the remaining parts of the triangle. .

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GRAPHS OF OTHER TRIG FUNCTIONS

GRAPHS OF OTHER TRIG FUNCTIONS. We are interested in the graph of y = f ( x ) = tan x. Start with a "t" chart and let's choose values from our unit circle and find the tangent values. Tangent has a period of ? so it will repeat every ?. y. would mean there is a vertical asymptote here.

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PHY131H1S - Class 21

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Chapter 15 Oscillatory Motion

Chapter 15 Oscillatory Motion. Motion of an Object Attached to a Spring. The Ideal Spring and Simple Harmonic Motion. The constant k is called the spring constant.

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Opp

Sine Graph. We already know that. (x,y). Sin ? o =. r . r . Hyp. y. y. Using the unity circle we can re-define Sin ? o as. Opp. ? o. Opp. Hyp. x. Adj. Sin ? o =. The Sin e function is a circular function. We will now graph the Sine function. Since unity circle

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6.4

6.4. Amplitude and Period of Sine and Cosine Functions. Characteristics of the Graphs of y = sin x and y = cos x. Domain : ____________ Range : ____________ A mplitude : The amplitude of the sine and cosine functions is half the

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Graphing other Trig functions

Graphing other Trig functions . 4-6. Secant and cosecant. Graph the appropriate sine or cosine function Label the vertical asymptotes Start at each min/max and go up/down each asymptote. Example. Graph .

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Graphing other Trig functions

Graphing other Trig functions . 4-6. Secant and cosecant. Graph the appropriate sine or cosine function Label the vertical asymptotes Start at each min/max and go up/down each asymptote. Example. Graph .

164 views • 3 slides