Concept explainers
The German mathematician Karl Weierstrass (1815–1897) noticed that the substitution t = tan(x/2) will convert any rational function of sin x and cos x into an ordinary rational function of t.
(a) If t = tan(x/2), –π < x < π, sketch a right triangle or use
(b) Show that
(c) Show that
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Chapter 7 Solutions
Single Variable Calculus: Early Transcendentals
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage