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Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 6: Q.87 (page 396)

use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator:
$\frac{\sin (- 20^{o})}{\cos (380^{o})} + \tan (200^{o})$

Short Answer

Expert verified

The exact value of $\frac{\sin (- 20^{o})}{\cos (380^{o})} + \tan (200^{o}) i s 0 .$

Step by step solution

01

Given information

We are given a equation $\frac{\sin (- 20^{o})}{\cos (380^{o})} + \tan (200^{o})$

02

Use periodicity property of trigonometric functionssinθ+2π=sinθcosθ+2π=cosθtanθ+π=tanθ

We get,

$\frac{\sin (- 20^{o})}{\cos (380^{o})} + \tan (200^{o}) - \frac{\sin (20^{o})}{\cos (20^{o})} + \tan (20^{o}) - \frac{\sin (20^{o})}{\cos (20^{o})} + \frac{\sin (20^{o})}{\cos (20^{o})} = 0$

03

Conclusion

The exact value of $\frac{\sin (20^{o})}{\cos (20^{o})} + \tan (20^{o}) i s 0 .$

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Most popular questions from this chapter

The range of the sine function is _____.

Convert each angle in degree to radians. express your answer as a multiple of $蟺$ .

$- 225 掳$

find the value of the remaining five trigonometric functions of $蠎$

role="math" localid="1646316653225" $\cos 蠎 = \frac{2}{3} \frac{3 蟺}{2} < 蠎 < 2 蟺$

In the problem, $s$ denotes the length of the arc of a circle of radius $r$ subtended by the central angle $胃$ . Find the missing quantity. Round answers to three decimal places.

$r = 6$ feet, $胃 = 2$ radians, $s = ?$

Use the graph of the function to determine the domain and the range of function

$y = s e c (\frac{2 蟺}{3} x) + 2$

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