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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Can you please answer #14
![For Exercises 11–26, evaluate the given quantities assuming that \( u \) and \( v \) are both in the interval \( \left(0, \frac{\pi}{2}\right) \) and
\[ \cos u = \frac{1}{3} \quad \text{and} \quad \sin v = \frac{1}{4}. \]
11. \( \sin u \)
12. \( \cos v \)
13. \( \tan u \)
14. \( \tan v \)
15. \( \cos(2u) \)
16. \( \cos(2v) \)
17. \( \sin(2u) \)
18. \( \sin(2v) \)
19. \( \tan(2u) \)
20. \( \tan(2v) \)
21. \( \cos \frac{u}{2} \)
22. \( \cos \frac{v}{2} \)
23. \( \sin \frac{u}{2} \)
24. \( \sin \frac{v}{2} \)
25. \( \tan \frac{u}{2} \)
26. \( \tan \frac{v}{2} \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F55a9f4d6-665d-4a4b-9360-b65e5467aeef%2Fd95daf3b-d72e-4725-be66-2c64daec1dbd%2Fxarb37t_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For Exercises 11–26, evaluate the given quantities assuming that \( u \) and \( v \) are both in the interval \( \left(0, \frac{\pi}{2}\right) \) and
\[ \cos u = \frac{1}{3} \quad \text{and} \quad \sin v = \frac{1}{4}. \]
11. \( \sin u \)
12. \( \cos v \)
13. \( \tan u \)
14. \( \tan v \)
15. \( \cos(2u) \)
16. \( \cos(2v) \)
17. \( \sin(2u) \)
18. \( \sin(2v) \)
19. \( \tan(2u) \)
20. \( \tan(2v) \)
21. \( \cos \frac{u}{2} \)
22. \( \cos \frac{v}{2} \)
23. \( \sin \frac{u}{2} \)
24. \( \sin \frac{v}{2} \)
25. \( \tan \frac{u}{2} \)
26. \( \tan \frac{v}{2} \)
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