How do you avoid the loss of significance with this expression, sin(x) - tan(x)? I know that subtraction of 2 close real numbers creates large relative error, so how do I restructure this equation in order to get rid of the subtraction sign?
How do you avoid the loss of significance with this expression, sin(x) - tan(x)? I know that subtraction of 2 close real numbers creates large relative error, so how do I restructure this equation in order to get rid of the subtraction sign?
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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How do you avoid the loss of significance with this expression, sin(x) - tan(x)? I know that subtraction of 2 close real numbers creates large relative error, so how do I restructure this equation in order to get rid of the subtraction sign?
I tried using trig indentities: sin(x) - sin(x)/cos(x) = (sin(x)cos(x) - sin(x))/cos(x), but the subtraction sign does not go away.
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