Matlab: An Introduction With Applications - 5 Edition - Chapter 5 - Problem 9
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# A parametric equation is given byx =s in(t)cos(t), y =1 .5cos(t)Plot the function for

MATLAB: An Introduction with Applications | 5th Edition

Problem 9

A parametric equation is given byx =s in(t)cos(t), y =1 .5cos(t)Plot the function for -1t t 1t . Format the plot such that the both axes willrange from -2 to 2.

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Week1:UnitCircle Sunday,August27,2017 3:50PM EquationtoFindEveryCoordinateontheUnitCircle: ! +% = 1 TerminalPoint ► Ifdistance(t)ispositivemarkoffthedistancealongtheunitcirclestartingat point(1,0)andmoveinacounterclockwisedirection.If(t)isnegativemovea distanceof|t|(absolutevalueoft)inaclockwisedirection.Anendpoint obtainedinthismanneriscalledtheterminalpoint. Question:Findthecoordinatesthatcorrespondtotheterminalp⎯⎯tt= * SolutionbyUsing:! + % = 1 ! = % Becausethispointcutstheunitcircleintwoequalpartsx=y ! +! = 1 xandyhavethesamevalue,xcansubstitutey 2! = 1 " 1

###### Chapter 5, Problem 9 is Solved

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