Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 2 - Acute Angles and Right Triangles - Section 2.1 Trigonometric Functions of Acute Angles - 2.1 Exercises: 15

Answer

sinB = $\sqrt 91$/10 cosB = 3/10 tanB = $\sqrt 91$/3 cscB = 10$\sqrt 91$/91 secB = 10/3 cotB = 3$\sqrt 91$/91

Work Step by Step

Pythagorean Theorem to determine unknown leg of triangle: $a^{2} + b^{2} = c^{2}$ $3^{2} + b^{2} = 10^{2}$ $b^{2} = 100 - 9 = 91$ b = $\sqrt 91$ Evaluate each trignometric function: sinB = o/h = $\sqrt 91$/10 cosB = a/h = 3/10 tanB = o/a = $\sqrt 91$/3 cscB = 10$\sqrt 91$/91 secB = h/a = 10/3 cotB = a/o = 3$\sqrt 91$/91
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