trigonometric substitutions

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trigonometric substitutions

[¦trig·ə·nə¦me·trik ‚səb·stə′tü·shənz]
(mathematics)
The substitutions x = a sin u, x = a tan u, and x = a sec u, which are used to rationalize expressions of the form √(a 2-x 2), √(x 2+ a 2), and √(x 2-a 2), respectively, when they appear in integrals.
References in periodicals archive ?
If a CAS fails to give a solution here, the trigonometric substitution x=sin([theta]) converts the original integral to [integral][theta]sin([theta])d[theta], one that students should quickly recognize.
that may be rationalized with a trigonometric substitution.