f(x)=tan(x)-sin(x)-2.75=0 where x is in radian. Calculate f(x) at .5 and 1.5, and show that a root exists between those two points. Next provide a guess for this root. Do three iterations of Newton-Raphson method and Secant Rule. Calculate the approximate relative error at the end of each iteration and compare which one if more accurate.
f(x)=tan(x)-sin(x)-2.75=0 where x is in radian. Calculate f(x) at .5 and 1.5, and show that a root exists between those two points. Next provide a guess for this root. Do three iterations of Newton-Raphson method and Secant Rule. Calculate the approximate relative error at the end of each iteration and compare which one if more accurate.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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f(x)=tan(x)-sin(x)-2.75=0 where x is in radian. Calculate f(x) at .5 and 1.5, and show that a root exists between those two points. Next provide a guess for this root.
Do three iterations of Newton-Raphson method and Secant Rule. Calculate the approximate relative error at the end of each iteration and compare which one if more accurate.
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