Trigonometry (11th Edition) Clone

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

Chapter 1 - Test - Page 46: 17

Answer

We can see the completed table below:
1523449384

Work Step by Step

$\theta = 90^{\circ}$ : $x = 0$ $y = 1$ $r = 1$ We can find the trigonometric values: $sin ~\theta = \frac{y}{r} = \frac{1}{1} = 1$ $cos ~\theta = \frac{x}{r} = \frac{0}{1} = 0$ $tan ~\theta = \frac{y}{x} = \frac{1}{0}$ (undefined) $csc ~\theta = \frac{r}{y} = \frac{1}{1} = 1$ $sec ~\theta = \frac{r}{x} = \frac{1}{0}$ (undefined) $cot ~\theta = \frac{x}{y} = \frac{0}{1} = 0$ $\theta = -360^{\circ} = 0^{\circ}$ : $x = 1$ $y = 0$ $r = 1$ We can find the trigonometric values: $sin ~\theta = \frac{y}{r} = \frac{0}{1} = 0$ $cos ~\theta = \frac{x}{r} = \frac{1}{1} = 1$ $tan ~\theta = \frac{y}{x} = \frac{0}{1} = 0$ $csc ~\theta = \frac{r}{y} = \frac{1}{0}$ (undefined) $sec ~\theta = \frac{r}{x} = \frac{1}{1} = 1$ $cot ~\theta = \frac{x}{y} = \frac{1}{0}$ (undefined) $\theta = 630^{\circ} = 270^{\circ}$ : $x = 0$ $y = -1$ $r = 1$ We can find the trigonometric values: $sin ~\theta = \frac{y}{r} = \frac{-1}{1} = -1$ $cos ~\theta = \frac{x}{r} = \frac{0}{1} = 0$ $tan ~\theta = \frac{y}{x} = \frac{-1}{0}$ (undefined) $csc ~\theta = \frac{r}{y} = \frac{1}{-1} = -1$ $sec ~\theta = \frac{r}{x} = \frac{1}{0}$ (undefined) $cot ~\theta = \frac{x}{y} = \frac{0}{-1} = 0$ We can see the completed table below:
Small 1523449384
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