Chapter 6: Q. 43 (page 381)

Find the exact value of each expression. Do not use a calculator.
$2 \sec \frac{π}{4} + 4 \cot \frac{π}{3}$

Short Answer

Expert verified

The exact value of the given expression is $2 \sqrt{2} + \frac{4 \sqrt{3}}{3}$ .

Step by step solution

Step 1. Given information.

The given expression is:

$2 \sec \frac{π}{4} + 4 \cot \frac{π}{3}$

Step 2. Determine the exact value.

In the trigonometric table $\sec \frac{π}{4} = \sqrt{2}$ and $\cot \frac{π}{3} = \frac{1}{\sqrt{3}}$ . Substitute these values in the given expression.

$\begin{array}{rcl} 2 \sec \frac{π}{4} + 4 \cot \frac{π}{3} & = & 2 (\sqrt{2}) + 4 (\frac{1}{\sqrt{3}}) \\ = & 2 \sqrt{2} + \frac{4}{\sqrt{3}} \\ = & 2 \sqrt{2} + \frac{4 \sqrt{3}}{3} \end{array}$

Step 3. Conclusion.

The exact value of the given expression is $2 \sqrt{2} + \frac{4 \sqrt{3}}{3}$ .

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Find the exact value of each expression. Do not use a calculator.
$2 \sec \frac{π}{4} + 4 \cot \frac{π}{3}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the exact value.

Step 3. Conclusion.

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Find the exact value of each expression. Do not use a calculator.2secπ4+4cotπ3

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the exact value.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

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Mechanics Maths

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Geometry

Study anywhere. Anytime. Across all devices.

Find the exact value of each expression. Do not use a calculator.
$2 \sec \frac{π}{4} + 4 \cot \frac{π}{3}$