Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 2 - Acute Angles and Right Triangles - Section 2.1 Trigonometric Functions of Acute Angles - 2.1 Exercises - Page 56: 84

Answer

The coordinates are $P=(1, \sqrt 3)$.

Work Step by Step

To calculate the coordinates of $P$, remember the formula for polar coordinates: $P=(r\cos\theta, r\sin\theta)$ In this case, $r=2$ and $\theta=60^{\circ}$ Substituting in the formula, $P=(2\cos(60^{\circ}), 2\sin(60^{\circ}))$ $P=(2*\frac{1}{2}, 2*\frac{\sqrt 3}{2})$ $P=(1, \sqrt 3)$
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