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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 31E
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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
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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