Chapter 6: Q 120. (page 382)

Use a calculator in radian mode to complete the following table.
What can you conclude about the value of $g (θ) = \frac{\cos θ - 1}{θ}$ as $θ$ approaches to 0.
$θ$ $0 \cdot 5$
$0 \cdot 4$ $0 \cdot 2$ $0 \cdot 1$ $0 \cdot 01$ $0 \cdot 001$ $0 \cdot 0001$
$0 \cdot 00001$
$\cos θ - 1$
$g (θ) = \frac{\cos θ - 1}{θ}$

Short Answer

Expert verified

The table is shown below.

Step by step solution

Step 1. Given information .

Consider the given value $g (θ) = \frac{\cos θ - 1}{θ}$ .

Step 2. Using calculator to find the values.

(a) First set the MODE to receive radians .

Step 3. Plotting table.

$θ$	$0 \cdot 5$	$0 \cdot 4$	$0 \cdot 2$	$0 \cdot 1$	$0 \cdot 01$	$0 \cdot 001$	$0 \cdot 0001$	$0 \cdot 00001$
$\cos θ - 1$	$- \cdot 122$	$- \cdot 079$	$- \cdot 020$	$- 5 \times 10^{- 3}$	$- 5 \times 10^{- 5}$	$- 5 \times 10^{- 7}$	$- 5 \times 10^{- 9}$	$- 5 \times 10^{- 11}$
$\frac{\cos θ - 1}{θ}$	$- \cdot 245$	$- \cdot 197$	$- \cdot 100$	$- \cdot 050$	$- 5 \times 10^{- 3}$	$- 5 \times 10^{- 4}$	$- 5 \times 10^{- 5}$	$- 5 \times 10^{- 6}$

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Step 1. Given information .

Step 2. Using calculator to find the values.

Step 3. Plotting table.

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Use a calculator in radian mode to complete the following table.What can you conclude about the value of gθ=cosθ-1θasθapproaches to 0.θ0·50·40·20·10·010·0010·00010·00001cosθ-1gθ=cosθ-1θ

Short Answer

Step by step solution

Step 1. Given information .

Step 2. Using calculator to find the values.

Step 3. Plotting table.

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Most popular questions from this chapter

Recommended explanations on Math Textbooks

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