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Prove the following inverse trigonometric identities: d -1 (cos-1(x)) = dx x2 1 dx (tan-1 (x)) = 1 + x²

Prove the following inverse trigonometric identities: d -1 (cos-1(x)) = dx x2 1 dx (tan-1 (x)) = 1 + x²

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 24E
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Prove the following inverse trigonometric identities: d -1 (cos-1(x)) = dx x2 1 dx (tan-1 (x)) = 1 + x²
Transcribed Image Text:Prove the following inverse trigonometric identities: d -1 (cos-1(x)) = dx x2 1 dx (tan-1 (x)) = 1 + x²
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