Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

Use a calculator to find the approximate value of each expression rounded to two decimal places: $\csc \frac{5 π}{13}$

The approximate value of the expression $\csc \frac{5 π}{13}$ is $1.07$ .

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information

We are given an expression $\csc \frac{5 π}{13}$

We need to find the approximate value of the expression that is rounded to two decimal places.

Step 2. Concept

Note that $\csc θ = \frac{1}{\sin θ}$
While finding the values of the trigonometric functions using a calculator, we need to set the correct MODE in the calculator depending on whether the angle is in radian or in degree.

Step 3. Finding the approximate value of the given expression

The given trigonometric expression is, $\csc \frac{5 π}{13}$

Since the angle is in radian, we have to set the correct MODE in the calculator to receive radian.

Most of the calculators do not have $\csc$ key. Therefore we will make use of the relation, $\csc θ = \frac{1}{\sin θ}$

Therefore,

role="math" localid="1646330067684" $\csc (\frac{5 π}{13}) = \frac{1}{\sin (\frac{5 π}{13})} \Rightarrow \csc (\frac{5 π}{13}) \approx 1.07$

which is rounded off two two decimal places.

Step 4. Final Answer

The approximate value of the expression $\csc (\frac{5 π}{13}) = 1.07$

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Precalculus Enhanced with Graphing Utilities

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Short Answer

Use a calculator to find the approximate value of each expression rounded to two decimal places: $\csc \frac{5 π}{13}$

Step by Step Solution

Step 1. Given information

Step 2. Concept

Step 3. Finding the approximate value of the given expression

Step 4. Final Answer

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Precalculus Enhanced with Graphing Utilities

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Short Answer

Use a calculator to find the approximate value of each expression rounded to two decimal places: csc 5π13

Step by Step Solution

Step 1. Given information

Step 2. Concept

Step 3. Finding the approximate value of the given expression

Step 4. Final Answer

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Use a calculator to find the approximate value of each expression rounded to two decimal places: $\csc \frac{5 π}{13}$