Prove that the following identity is true. sin t 1+ cos t -1- cos t sin t We begin on the left side of the equation by multiplying the numerator and denominator by the conjugate of the denominator. We can then use a Pythagorean Identity on the denominator, an reduce. 1- cos t sin t 1 + cos t sin t 1 + cos t %3D sin t(1 - cos t) 1 - sin t(1 - cos t) %3D 1- cos t sin t
Prove that the following identity is true. sin t 1+ cos t -1- cos t sin t We begin on the left side of the equation by multiplying the numerator and denominator by the conjugate of the denominator. We can then use a Pythagorean Identity on the denominator, an reduce. 1- cos t sin t 1 + cos t sin t 1 + cos t %3D sin t(1 - cos t) 1 - sin t(1 - cos t) %3D 1- cos t sin t
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter5: Identities And Formulas
Section5.4: Half-angle Formulas
Problem 69PS
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