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 - Page 53: 74

Answer

$y = \sqrt 3 x$

Work Step by Step

1. Definition of tangent $\tan\theta=\frac{y}{x}$ 2. Special angle value $\tan 60^{\circ}=\frac{\sqrt 3}{1}$ 3. Using two points we can find the equation of a line $p_1(0,0)$ and $p_2(1,\sqrt 3)$ 4. Fins a slope of the line as shown below $slope = \frac{\sqrt 3 - 0}{1-0} = \sqrt 3$ 5. Find y-intercept since it goes through the origin, $y_{intercept}= 0$ 6. Write the equation in form $y=mx+b$ $y = \sqrt 3 x$
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