Trigonometry (10th Edition)

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

Chapter 7 - Applications of Trigonometry and Vectors - Section 7.4 Vectors, Operations, and the Dot Product - 7.4 Exercises - Page 331: 95

Answer

$\langle -0.5209,-2.9544 \rangle$

Work Step by Step

Horizontal component of $\textbf{v}=3\cos260^{\circ}$ Ensuring that the calculator is in degrees, we type $3\cos260$ into the calculator and solve: $3\cos260^{\circ}=-0.5209$ Vertical component of $\textbf{v}=3\sin260^{\circ}$ Ensuring that the calculator is in degrees, we type $3\sin260$ into the calculator and solve: $3\sin260^{\circ}=-2.9544$ Therefore, $\textbf{v}=\langle -0.5209,-2.9544 \rangle$
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