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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
19 Nov 2021

Given information

Given :-  Deriving the formula  for the period of a pendulum of length L , the author obtainsd the equation  for the tangential acceleration of bob of the pendulum .He then say , " for small angels , value of  in radians is very nearly the value of ; they differ by less than 2% out to about  ." 

To find :-  Verify the linear approximation at 0 for sine function . 

                             

Step-by-step explanation

Step 1.

Consider the function,

 

 

 

Linear approximation at x=0 ,

 

         

 

 

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