Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 7 - Section 7.1 - Trigonometric Identities - 7.1 Exercises - Page 543: 22

Answer

$\sin y$

Work Step by Step

Given expression is- $ \frac{1 + \sin y}{1 + \csc y} $ = $ \frac{1 + \sin y}{1 + \frac{1}{\sin y}} $ = $ \frac{1 + \sin y}{\frac{\sin y + 1}{\sin y}} $ = $ (1 + \sin y) . \frac{\sin y}{(\sin y + 1)} $ = $\sin y$
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