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Chapter 6: Q. 16 (page 395)

In problems 11-26,use the fact that the trigonometric function are periodic to find the exact value of each expression. Do not use a calculator.
$\sec (540^{\circ})$

Short Answer

Expert verified

The exact value is $- 1 .$

Step by step solution

01

Step 1. Given information.

We have:

$\sec (540^{\circ})$

02

Step 2. Find the exact value of trigonometric function.

The function is $\sec (540^{\circ})$ .

Formula used:

$s e c (θ + 2 π) = s e c θ$

Here, $θ = 180 °$

$s e c (180 ° + 360 °) = s e c 180 ° = \frac{1}{\cos (180^{\circ})} = \frac{1}{- 1} = - 1$

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Most popular questions from this chapter

Convert each angle in degrees to radians. Express your answer as a multiple of $π$ .

$- 135 °$

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

$θ = \frac{1}{3}$ radian, $s = 2$ feet , $r = ?$

the point (x, y) is on the terminal side of angle in standard position. Find the exact value of the given trigonometric function

$(- 5, 11), \cos ϑ$

Convert each angle in degrees to radians. Express your answer as a multiple of $π$ .

$270 °$

Find the exact values of the six trigonometric functions of the given angle. If any are not defined, say "not defined." Do not use a calculator.

$\frac{2 π}{3}$

See all solutions

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