Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 6 - Section 6.2 - Trigonometry of Right Triangles - 6.2 Exercises - Page 488: 45

Answer

sin θ = 0.44 cos θ = 0.89 tan θ = 0.50 csc θ = 2.25 sec θ = 1.125 crib θ = 2.00

Work Step by Step

Measure the sides of the triangle Using an imaginary ruler and considering the proportions in the image: Opposite leg (height): approximately 4.4 units Adjacent leg (base): approximately 8.9 units Hypotenuse: approximately 10 units Step 2: Calculate Trigonometric Relationships sin θ = opposite / hypotenuse = 4.4 / 10 = 0.44 cos θ = adjacent / hypotenuse = 8.9 / 10 = 0.89 tan θ = opposite / adjacent = 4.4 / 8.9 ≈ 0.50 csc θ = hypotenuse / opposite = 10 / 4.4 ≈ 2.25 sec θ = hypotenuse / adjacent = 10 / 8.9 ≈ 1.125 crib θ = adjacent / opposite = 8.9 / 4.4 ≈ 2.00
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