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Chapter 7 Test Study Guide

by: Asif Khan

Chapter 7 Test Study Guide Math 163

Marketplace > Old Dominion University > Math > Math 163 > Chapter 7 Test Study Guide
Asif Khan
Precalculus II
Robert Williams

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About this Document

A review I created for the test Friday.
Precalculus II
Robert Williams
Study Guide
50 ?




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This 4 page Study Guide was uploaded by Asif Khan on Monday November 16, 2015. The Study Guide belongs to Math 163 at Old Dominion University taught by Robert Williams in Summer 2015. Since its upload, it has received 32 views. For similar materials see Precalculus II in Math at Old Dominion University.


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Date Created: 11/16/15
71 Law of Sines Law of Sines gt Used when you know the measure of an angle and the length of its corresponding side sinA sinB sinC a b c mooo swausmomneurmm sinA sinB sinC 72 Law of Cosines Law of Cosines gt Used when you know the measure of an angle or the length of its corresponding side 0 In this situation Law of Sines cannot be used gt Law of Sines can be used after using Law of Cosines Law of Cosines a2 b2 6 mac cosA b2 a2 c2 Zac 2058 c2 32 b2 Zabo cosc 2 m matrwaeehouso can 74 Vectors A vector is a quantity that has direction and magnitude Magnitude of a Vector Magnitude of VIIVII If vltX ygt Vsquare root of XA2yquot2 Adding Vectors ABlta1 a2gtltb1 b2gtlta1b1 a2b2gt Unit Vector A vector with a magnitude of 1 Ult2 7gt2i7j Find Components of a Vector Using Trig Sin thetay V gty v sin theta Cos thetax V gt v cos theta 75 The Dot Product Alta1 a2gt Bltb1 b2gt ABlta1b1 a2b2gtBA ABIAIIBIcos theta If the angle between two vectors is zero vectors are parallel If UVO U and V are perpendicular or orthogonal m gt The work done by a force F to move an object from point P to Q is WFPQcos theta 77 Complex Numbers A complex number is of the form zxiy Where isquare root of l Modulus Magnitude of a Complex Number zxiy zsquare root of xA2yquot2 Modulus Trigonometry zsquare root of xA2yquot2r xrcos theta yrsin theta zrcos theta isin thetaPolar Form of a Complex Number Product Rule for Complex Numbers z 1 gt 22r1r2 cos thetaltheta2 isin thetaltheta2 De Moivre s Theorem gt If zr cos theta isin theta then for any integer n zquotnrquotncos ntheta rsin ntheta


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