Trigonometry (10th Edition)

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

Chapter 1 - Trigonometric Functions - Section 1.4 Using the Definitions of the Trigonometric Functions - 1.4 Exercises: 84

Answer

False

Work Step by Step

1. Use the cotangent to get the values of x and y x=1 and y=2 2. Use x, y and distance formula to find the r $r=\sqrt{1^{2}+2^{2}}=\sqrt 5$ 3. Let's find cos and sin: $\cos\theta=\frac{1}{\sqrt 5}$ $\sin\theta=\frac{2}{\sqrt 5}$ 4. We can see from step (3) cosine and sine are not 1 and 2. When we divide them the root-5's cancel, then we get cotangent 1/2.
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