Find the exact value of cos 255⁰. √3-√2 2 √2-√6 4 √2+√6 4 4 2

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Question:**

Find the exact value of cos 255°.

**Options:**

- \(\frac{\sqrt{3} - \sqrt{2}}{2}\)

- \(\frac{\sqrt{2} - \sqrt{6}}{4}\)

- \(\frac{\sqrt{2} + \sqrt{6}}{4}\)

- \(\frac{-\sqrt{4}}{2}\)

**Analysis:**

The problem is to determine the exact trigonometric value of cos 255° from the given options. Each option consists of a different mathematical expression, involving square roots and fractions.
Transcribed Image Text:**Question:** Find the exact value of cos 255°. **Options:** - \(\frac{\sqrt{3} - \sqrt{2}}{2}\) - \(\frac{\sqrt{2} - \sqrt{6}}{4}\) - \(\frac{\sqrt{2} + \sqrt{6}}{4}\) - \(\frac{-\sqrt{4}}{2}\) **Analysis:** The problem is to determine the exact trigonometric value of cos 255° from the given options. Each option consists of a different mathematical expression, involving square roots and fractions.
Expert Solution
Step 1

Given;

Cos(255).

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