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Find the area and arc length 1) 11 ft 3) 315 16 ft

Find the area and arc length 1) 11 ft 3) 315 16 ft

Calculus: Early Transcendentals
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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### Geometry and Trigonometry Exercise **Find the area and arc length:** 1. A sector of a circle with: - Radius = 11 ft - Central angle = 315° 2. A sector of a circle with: - Radius = 13 ft - Central angle = 270° 3. A sector of a circle with: - Radius = 16 ft - Central angle = \(\frac{3\pi}{2}\) 4. A sector of a circle with: - Radius = 13 in - Central angle forming \( 45^\circ \). 5. For a sector with: - \( r = 18 \) cm - \( \theta = 60^\circ \) 6. For a sector with: - \( r = 16 \) m - \( \theta = 75^\circ \) 7. For a sector with: - \( r = 9 \) ft - \( \theta = \frac{7\pi}{4} \) 8. For a sector with: - \( r = 14 \) ft - \( \theta = \frac{19\pi}{12} \) --- **Graph the trigonometric functions:** 1. \( y = \sin(2x - \frac{\pi}{4}) \) 2. \( y = -5\sin(x) \) 3. \( y = 4\sin(x) - 1 \) 4. \( y = \sin(x - \frac{\pi}{2}) \) 5. \( y = \cos(2x) + 1 \) 6. \( y = 3\cos(x - \pi) \) 7. \( y = -\cos(x) - 4 \) 8. \( y = 2\cos(x - \frac{\pi}{3}) \) 9. \( y = \tan(4x) \) 10. \( y = 2\tan(x) \) 11. \( y = \tan(x - \frac{\pi}{3}) \) 12. \( y = \tan(x) - 1 \) --- **Find all of the EXACT trigonometric function values of angle \(\theta\):** - The terminal point is: \((-3, -4)\) - The terminal point is
Transcribed Image Text:### Geometry and Trigonometry Exercise **Find the area and arc length:** 1. A sector of a circle with: - Radius = 11 ft - Central angle = 315° 2. A sector of a circle with: - Radius = 13 ft - Central angle = 270° 3. A sector of a circle with: - Radius = 16 ft - Central angle = \(\frac{3\pi}{2}\) 4. A sector of a circle with: - Radius = 13 in - Central angle forming \( 45^\circ \). 5. For a sector with: - \( r = 18 \) cm - \( \theta = 60^\circ \) 6. For a sector with: - \( r = 16 \) m - \( \theta = 75^\circ \) 7. For a sector with: - \( r = 9 \) ft - \( \theta = \frac{7\pi}{4} \) 8. For a sector with: - \( r = 14 \) ft - \( \theta = \frac{19\pi}{12} \) --- **Graph the trigonometric functions:** 1. \( y = \sin(2x - \frac{\pi}{4}) \) 2. \( y = -5\sin(x) \) 3. \( y = 4\sin(x) - 1 \) 4. \( y = \sin(x - \frac{\pi}{2}) \) 5. \( y = \cos(2x) + 1 \) 6. \( y = 3\cos(x - \pi) \) 7. \( y = -\cos(x) - 4 \) 8. \( y = 2\cos(x - \frac{\pi}{3}) \) 9. \( y = \tan(4x) \) 10. \( y = 2\tan(x) \) 11. \( y = \tan(x - \frac{\pi}{3}) \) 12. \( y = \tan(x) - 1 \) --- **Find all of the EXACT trigonometric function values of angle \(\theta\):** - The terminal point is: \((-3, -4)\) - The terminal point is
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