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Chapter 6: Q 30. (page 381)

Find the exact value. Do not use a calculator.
$\tan (- 3 π)$

Short Answer

Expert verified

The exact value of $\tan (- 3 π) = 0$

Step by step solution

01

Step 1. Given information

$\tan (- 3 π)$

02

Step 2. Unit Circle

$Rotate anticlockwise to form - 3 π angle with the positive x - axis . The \tan (- 3 π) equals the \frac{y - coordinate}{x - coordinate} of the point of intersection (- 1, 0) of unit circle .$

03

Step 3. Final Result

$\tan (- 3 π) = - \frac{0}{- 1} = 0 \tan (- 3 π) = 0$

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Most popular questions from this chapter

In Problems $4 - 6$ convert each angle in radians to degrees.

$5 . \frac{9 π}{2}$

Convert angle in radian to degree-

$\frac{5 π}{6}$

The Montauk Point Lighthouse on Long Island has dual beams (two light sources opposite each other). Ships at sea observe a blinking light every five seconds. What rotation speed is required to do this?

Use a calculator to find the approximate value of each expression rounded to two decimal places.

$\cos 14 °$

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

$30 °$

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