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Solution for problem 9 Chapter 5
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
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.
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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A parametric equation is given byx =s in(t)cos(t), y =1 .5cos(t)Plot the function for