Trigonometry (11th Edition) Clone

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

Chapter 4 - Graphs of the Circular Functions - Section 4.3 Graphs of the Tangent and Cotangent Functions - 4.3 Exercises - Page 173: 62

Answer

$x = 0.322+\pi~n$, where $n$ is any integer

Work Step by Step

The least positive x-intercept of the graph of this function is $x = 0.322$ Since the period of this function is $\pi$, the general form of the x-intercepts for the function are: $x = 0.322+\pi~n$, where $n$ is any integer. Therefore, the solutions of the equation $-2-cot(x-\frac{\pi}{4}) = 0$ are: $x = 0.322+\pi~n$, where $n$ is any integer
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