5. Assuming that (d/dx) (sin x) = cos x and (d/dx) (cos x) = - sin x, prove each of the following. d d (a) -cot x = -csc2x (b) -esc x = -csc x cot x dx xp
5. Assuming that (d/dx) (sin x) = cos x and (d/dx) (cos x) = - sin x, prove each of the following. d d (a) -cot x = -csc2x (b) -esc x = -csc x cot x dx xp
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
![5. Assuming that (d/dx) (sin x) = cos x and (d/dx) (cos x) =
- sin x, prove each of the following.
d
d
(a)
-cot x = -csc2x
(b)
-esc x = -csc x cot x
dx
xp](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F98d5f51e-05de-4f74-8456-90bdd6ede3c1%2F2252379e-7010-4b29-93ee-9021aeab4d7b%2Ffb66b4n_processed.png&w=3840&q=75)
Transcribed Image Text:5. Assuming that (d/dx) (sin x) = cos x and (d/dx) (cos x) =
- sin x, prove each of the following.
d
d
(a)
-cot x = -csc2x
(b)
-esc x = -csc x cot x
dx
xp
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