trigonometric functions - koblbauer's math...

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Limits as of trigonometric functions: Fundamental Trigonometric Limit: Determine . What is ? Calculate . 0 0 lim cos 0 lim sin 0 tan lim 0 sin 1 lim 0 cos 1 lim 0 sin 7 lim 4 0 lim cot Trigonometric Functions

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Page 1: Trigonometric Functions - Koblbauer's Math Sitekoblbauermath.weebly.com/uploads/1/3/1/9/13192946/2014...limtan 0 sin lim 1 0 cos 1 lim 0 sin7 lim 4 0 lim cot Trigonometric Functions

Limits as of trigonometric functions:

Fundamental Trigonometric Limit:

Determine .

What is ?

Calculate .

0

0lim cos

0

limsin

0tanlim

0

sin1lim

0

cos 1lim

0

sin 7lim

4

0lim cot

Trigonometric Functions

Page 2: Trigonometric Functions - Koblbauer's Math Sitekoblbauermath.weebly.com/uploads/1/3/1/9/13192946/2014...limtan 0 sin lim 1 0 cos 1 lim 0 sin7 lim 4 0 lim cot Trigonometric Functions

Derivatives of trigonometric functions:

Differentiate .2 siny x x

0

( ) ( )sin lim

h

d f x h f xx

dx h

2 2

sin cos csc csc cot

cos sin sec sec tan

tan sec cot csc

d dx x x x x

dx dx

d dx x x x x

dx dx

d dx x x x

dx dx