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Chapter 6: Q 34. (page 381)

Find the exact value of each expression. Do not use a calculator.
$\cos 180 ° - \sin 180 °$

Short Answer

Expert verified

The exact value of $\cos 180 ° + \sin 180 ° = - 1$

Step by step solution

01

Step 1. Given information

$\cos 180 ° - \sin 180 °$

02

Step 2. Solution

$\cos 180 ° = \cos (180 ° - 0 °) = - \cos 0 ° = - 1 \sin 180 ° = \sin (180 ° + 0 °) = - \sin 0 ° = 0 Putting the values in the given expression we get, - 1 - 0 = - 1 So, \cos 180 ° + \sin 180 ° = - 1$

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Most popular questions from this chapter

In Problems $1 - 3$ , convert each angle in degrees to radians. Express your answer as a multiple of $π$ .

$3 . 13 °$

An angle $θ$ is in ________ _________ if its vertex is at the origin of a rectangular coordinate system and its initial side coincides with the positive x-axis.

What is 1 radian? What is 1 degree?

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

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

$\sec 21 °$

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