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he following identity. tan + cot = 2 csc x We begin by writing the left side of the equation in terms of tangents. We can then use the Half-Angle Formulas to write the expression in terms of sines an writing the expression as a single fraction, we can use a Reciprocal Identity to simplify. 1 tan + cot = tan + %3D tan 1 sin x 1 - cos X sin x 1- cos x sin x sin x sin x

he following identity. tan + cot = 2 csc x We begin by writing the left side of the equation in terms of tangents. We can then use the Half-Angle Formulas to write the expression in terms of sines an writing the expression as a single fraction, we can use a Reciprocal Identity to simplify. 1 tan + cot = tan + %3D tan 1 sin x 1 - cos X sin x 1- cos x sin x sin x sin x

Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Prove the following identity. tan + cot = 2 csc x We begin by writing the left side of the equation in terms of tangents. We can then use the Half-Angle Formulas to write the expression in terms of sines and cosines. After writing the expression as a single fraction, we can use a Reciprocal Identity to simplify. 즉 + cot 즉 : tan = tan tan 1 sin x 1 - cos x sin x 1- cos X + sin x sin x sin x = 2 csc x
Transcribed Image Text:Prove the following identity. tan + cot = 2 csc x We begin by writing the left side of the equation in terms of tangents. We can then use the Half-Angle Formulas to write the expression in terms of sines and cosines. After writing the expression as a single fraction, we can use a Reciprocal Identity to simplify. 즉 + cot 즉 : tan = tan tan 1 sin x 1 - cos x sin x 1- cos X + sin x sin x sin x = 2 csc x
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