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: 14

Answer

sinB = 7/12 cosB = $\sqrt 95$/12 tanB = 7$\sqrt 95$/95 cscB = 12/7 secB = 12$\sqrt 95$/95 cotB = $\sqrt 95$/7

Work Step by Step

Pythagorean Theorem to determine unknown leg of triangle: $a^{2} + b^{2} = c^{2}$ $7^{2} + b^{2} = 12^{2}$ $b^{2} = 144 - 49 = 95$ b = $\sqrt 95$ Evaluate each trignometric function: sinB = o/h = 7/12 cosB = a/h = $\sqrt 95$/12 tanB = o/a = 7$\sqrt 95$/95 cscB = h/o = 12/7 secB = h/a = 12$\sqrt 95$/95 cotB = a/o = $\sqrt 95$/7
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