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Applied Mathematics - ll : Differentiation|Chapter 02 | Lecture 03 Notes For Polytechnic

Hey Everyone, How are you ... Today I will tell you How to Derivate a trigonometry Function By First Principle Which is lecture 03 of Chapter 02 Differentiation Of Applied Mathematics 2 .

Lecture - 03 ( Topics ) :

1 ) Differentiation From First Principles

2 ) Differentiation Of Trigonometry Function By Using First Principle

Differentiation From First Principle

Let F( x ) be a real value function .

Then derivative of function using the first principal.

   F' ( x ) =  lim  F ( x + h ) - F ( X ) 

                  h→0            h 

( First Principle )

Differentiation Of Trigonometry Function By Using First Principle 

Question 01 ) 

Find The Derivative Of Sinx, using first principle.

Solution : View On This Page 

( Question 01 )

Question 02 )

Find The Derivative Of Cosx , Using First Principle.

Solution : View On This Page 

( Question 02 )

Question 03 ) 

Find The Derivative of tanx, using First Principle.

Solution : View On This Page 

( Question 03 ) 

Question 04 )

Find The Derivative Of Cotx , Using First Principle.

Solution : Same as Questions 03

Question 05 ) 

Find The Derivative Of Secx , Using First Principle.

Solution : View On This Page 

( Question 05 )

Question 06 ) 

Find The Derivative Of Cosecx Using First Principle

Solution : Same Us Question 05

Differentiation Lecture 03 Notes Link ;

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Important Trigonometry Formulas

sin(x+y) = sin(x)cos(y)+cos(x)sin(y)

cos(x+y) = cos(x)cos(y)–sin(x)sin(y)

sin(x–y) = sin(x)cos(y)–cos(x)sin(y)

cos(x–y) = cos(x)cos(y) + sin(x)sin(y)

And Also ,

SinA + SinB = 2sin (A + B )/2 Cos( A - B )/2

SinA - SinB = 2Cos (A + B )/2 Sin( A - B )/2

CosA + CosB = 2Cos(A + B )/2 Cos( A - B )/2

CosA - CosB = - 2Sin (A + B )/2 Sin( A - B )/2

Trigonometry Formula Notes ;

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