'2 sin' diaporamas de présentation

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445.102 Mathematics 2

445.102 Mathematics 2. Module 4 Cyclic Functions Lecture 4 Compounding the Problem. Angle Formulae In this lecture we treat sine, cosine & tangent as mathematical functions which have relationships with each other. These are expressed as various formulae.

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Index of Refraction

Index of Refraction. Light slows down as it enters or travels near the particle; redirection of incident light field Constant for water with given S and T About 1.33 for fresh and 1.34 for salt Interested in n subs /n water 1.15 – 1.22 for mineral substances 1.02 – 1.09 for organic particles

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Unit 3 Graphing Review

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?????? PART II Matlab ??

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Lesson 5-3b

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Chapter 23 Problems

AP PHYSICS. Chapter 23 Problems. Light: Geometric Optics. AP MIRROR PROBLEMS. page 717 #1 and #4. mirror. 1.5m IMAGE. 1.5m YOU. 3 m. #1. i. page 717 #4. mirror. 1.62m. normal. x. 43 cm. 2.10 m. #4 cont'd. =. at normal. Physics. 2. i. r. =. 1. i. at normal Geometry.

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Graphing Sine and Cosine Functions

Graphing Sine and Cosine Functions. In this lesson you will learn to graph functions of the form y = a sin bx and y = a cos bx where a and b are positive constants and x is in radian measure. The graphs of all sine and cosine functions are related to the graphs of

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GBK Precalculus Jordan Johnson

GBK Precalculus Jordan Johnson. Today’s agenda. Greetings Intro Review / Submit HW Lesson : Sums & Products w/Similar Periods Classwork Homework Clean-up. On sinusoids of different periods. The text has addressed how to graph the product of sinusoids of “greatly different periods ”…

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Graph Trigonometric Functions

Graph Trigonometric Functions. Objective: SWBAT graph sine, cosine and tangent curves. 2. The range is the set of y values such that. 5. Each function cycles through all the values of the range over an x -interval of. Properties of Sine and Cosine Functions.

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?????????. ????????. ?. 1. ?? 1) ? z ???? ? 2) ? z ?????? 2. ? matlab ??? ?? A(5,1) ?? A(5,1) ?? B(9,4) ?????????. ? ??? ?? ?. ? ? x ? n ?? ?? ?. ? ???? ?? ?. ?????.

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Aim: What are the graphs of tangent function and reciprocal functions?

Aim: What are the graphs of tangent function and reciprocal functions?. Do Now: If y = tan x , fill in the table and then sketch the graph. 0.58. y. 0. 1. 1.73. 5.67. 11.43. u.d. HW: Handout. y = tan x.

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Trapezium Rule

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Sine and Cosine graphs

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5.5 Multiple-Angle and Product-Sum Formulas

5.5 Multiple-Angle and Product-Sum Formulas. Find all solutions in. Sketch the graph of y = 4 cos 2 x - 2 over. = 2(2 cos 2 x - 1). = 2 cos 2x. Use the fact that. to find sin 2x, cos 2x, and tan 2x. sin 2x = 2 sin x cos x =. cos 2x = 2 cos 2 x - 1 =. 5. tan 2x =. -12. 13.

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6.2 Trigonometric Equations and Inequalities (I)

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Tutorial 9

Tutorial 9. Second Order Linear Differential Equations, part II. Homogeneous Linear Equations with Constant Coefficients. Consider a nonhomogeneous equation with constant coefficients:

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The Debye-Waller factor Start w/ structure factor F hkl = ? f n exp (2 ? i r * ? r n )

The Debye-Waller factor Start w/ structure factor F hkl = ? f n exp (2 ? i r * ? r n ). hkl. unit cell. S / ?. (S -S o )/ ?. 2 ?. S o / ?. | r *| = | s - s o |/ ? = (2 sin ? )/ ?. r * = ( s - s o )/ ? = h a * + k b * + l c * r = x a + y b + z c. For small ? r n

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EXAMPLE 1

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2.3 Differentiation Rules for Products, Quotients, Secants, and Tangents

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