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3. Find the following values without using a calculator. 1. cos() 2. sin(-) 3. cos(-5x) 4. sin()

3. Find the following values without using a calculator. 1. cos() 2. sin(-) 3. cos(-5x) 4. sin()

Trigonometry (11th Edition)
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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### Trigonometric Values Without a Calculator **Problem 3: Evaluate the following trigonometric values without using a calculator.** 1. \( \cos\left(\frac{11\pi}{3}\right) \) 2. \( \sin\left(\frac{3\pi}{4}\right) \) 3. \( \cos(-5\pi) \) 4. \( \sin\left(\frac{\pi}{6}\right) \) --- This problem requires an understanding of trigonometric functions and their periodic properties to find the values manually. To solve these, consider the unit circle, quadrant properties, and angle reduction techniques. For angles beyond \(2\pi\), remember that they wrap around due to periodicity. Calculations should be based on trigonometric identities and properties relevant to each function's value.
Transcribed Image Text:### Trigonometric Values Without a Calculator **Problem 3: Evaluate the following trigonometric values without using a calculator.** 1. \( \cos\left(\frac{11\pi}{3}\right) \) 2. \( \sin\left(\frac{3\pi}{4}\right) \) 3. \( \cos(-5\pi) \) 4. \( \sin\left(\frac{\pi}{6}\right) \) --- This problem requires an understanding of trigonometric functions and their periodic properties to find the values manually. To solve these, consider the unit circle, quadrant properties, and angle reduction techniques. For angles beyond \(2\pi\), remember that they wrap around due to periodicity. Calculations should be based on trigonometric identities and properties relevant to each function's value.
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