sin(푸) cos(늑) -cos(쪽) sim(특) cos(꼭) cos(특)-sin(폭) sin(특) COS sin(폭) cos() + cos(쪽) sin() cos(폭) cos(쓱) + sin(즉) sin(뜩) : cos () os() os (4) # sin() #-sin(꼭) # sin(쪽) - COS : CoS IIII

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Match the following

**Match each of the following:**

1. \(\sin\left(\frac{2\pi}{7}\right)\cos\left(\frac{4\pi}{7}\right) - \cos\left(\frac{2\pi}{7}\right)\sin\left(\frac{4\pi}{7}\right)\)

2. \(\cos\left(\frac{2\pi}{7}\right)\cos\left(\frac{4\pi}{7}\right) - \sin\left(\frac{2\pi}{7}\right)\sin\left(\frac{4\pi}{7}\right)\)

3. \(\sin\left(\frac{2\pi}{7}\right)\cos\left(\frac{4\pi}{7}\right) + \cos\left(\frac{2\pi}{7}\right)\sin\left(\frac{4\pi}{7}\right)\)

4. \(\cos\left(\frac{2\pi}{7}\right)\cos\left(\frac{4\pi}{7}\right) + \sin\left(\frac{2\pi}{7}\right)\sin\left(\frac{4\pi}{7}\right)\)

**Options:**

- \(\cos\left(\frac{6\pi}{7}\right)\)
- \(-\cos\left(\frac{2\pi}{7}\right)\)
- \(\cos\left(\frac{2\pi}{7}\right)\)
- \(\sin\left(\frac{6\pi}{7}\right)\)
- \(-\sin\left(\frac{2\pi}{7}\right)\)
- \(\sin\left(\frac{2\pi}{7}\right)\)

This diagram is a matching exercise designed to test understanding of trigonometric identities, particularly the angle sum and difference formulas. Each expression on the left should be matched with the correct trigonometric function value on the right.
Transcribed Image Text:**Match each of the following:** 1. \(\sin\left(\frac{2\pi}{7}\right)\cos\left(\frac{4\pi}{7}\right) - \cos\left(\frac{2\pi}{7}\right)\sin\left(\frac{4\pi}{7}\right)\) 2. \(\cos\left(\frac{2\pi}{7}\right)\cos\left(\frac{4\pi}{7}\right) - \sin\left(\frac{2\pi}{7}\right)\sin\left(\frac{4\pi}{7}\right)\) 3. \(\sin\left(\frac{2\pi}{7}\right)\cos\left(\frac{4\pi}{7}\right) + \cos\left(\frac{2\pi}{7}\right)\sin\left(\frac{4\pi}{7}\right)\) 4. \(\cos\left(\frac{2\pi}{7}\right)\cos\left(\frac{4\pi}{7}\right) + \sin\left(\frac{2\pi}{7}\right)\sin\left(\frac{4\pi}{7}\right)\) **Options:** - \(\cos\left(\frac{6\pi}{7}\right)\) - \(-\cos\left(\frac{2\pi}{7}\right)\) - \(\cos\left(\frac{2\pi}{7}\right)\) - \(\sin\left(\frac{6\pi}{7}\right)\) - \(-\sin\left(\frac{2\pi}{7}\right)\) - \(\sin\left(\frac{2\pi}{7}\right)\) This diagram is a matching exercise designed to test understanding of trigonometric identities, particularly the angle sum and difference formulas. Each expression on the left should be matched with the correct trigonometric function value on the right.
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