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Chapter 6: Q 22. (page 381)

Find the exact value. Do not use a calculator.
$\cos (7 π)$

Short Answer

Expert verified

The exact value of $\cos (7 π) = - 1$

Step by step solution

01

Step 1. Given information

$\cos (7 π)$

02

Step 2. Unit circle

$Rotate anticlockwise to form 7 π angle with the positive x - axis . The \cos (7 π) equals the x - coordinate (- 1) of the point of intersection (- 1, 0) of unit circle .$

03

Step 3. Final answer

$\cos (7 π) = x = - 1$

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