Calculus Show that the difference quotient for f(x) = sin x is given by f(x + h) – f(x) sin (x + h) – sin x h h sin h = cos x. h 1 - cos h sin x • h
Calculus Show that the difference quotient for f(x) = sin x is given by f(x + h) – f(x) sin (x + h) – sin x h h sin h = cos x. h 1 - cos h sin x • h
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 41E
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Transcribed Image Text:Calculus Show that the difference quotient for f(x) = sin x
is given by
f(x + h) – f(x)
sin (x + h) – sin x
h
h
sin h
= cos x.
h
1 - cos h
sin x •
h
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