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trigonometric substitutions
(redirected from Trigonometric substitution)

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trigonometric substitutions [¦trig·ə·nə¦me·trik ‚səb·stə′tü·shənz]
(mathematics)
The substitutionsx=asinu,x=atanu, andx=asecu, which are used to rationalize expressions of the form √(a2-x2), √(x2+a2), and √(x2-a2), respectively, when they appear in integrals.
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