Applied Mathematics - ll : Limits | Chapter 01 | Lecture 08 Notes For Polytechnic.
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Applied Mathematics - ll : Limits | Chapter 01 | Lecture 08 Notes For Polytechnic.
Hey Everyone, I will Show you How to Evaluate Of Trigonometry Limits & Very Important Questions which is Lecture 08 Of applied mathematics 2 Chapter 01 Of Module 2 Differentiation Calculus .
It's Very Important Lecture For All My students So Watch Video on youtube video & Download your Notes through below given link .
Lecture 08 Topics :
1 ) Evaluation Of Trigonometry Limits
2 ) Most Important Questions Based On Trigonometry Limits
Point To be Remembered
1 ) Evaluation Of Trigonometry Limits
a) Lim sin(θ) = 0
θ→0
Where, θ in term of radian
b ) Lim sin(θ)/θ = 1
θ→0
Where, θ in term of radian
c ) Lim tan(θ)/ θ = 1
θ→0
Where, θ in term of radian
d ) Lim cos( 1 - θ )/ θ = 0
θ→0
Where, θ in term of radian
Some Important Trigonometry Function
- 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
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| Important Trigonometry Formula |
Some Important Questions
Question 01 ;
Evaluate : lim {Sin ( x +h ) - Sinx )}/h = ? h→0
Solution : View On this Page
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| Question 01 |
Question 02 ;
Evaluate : lim{ ( a+ h ) sin ( a+h ) - a sina }/h
h→0
Solution : View On this Page
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| Question 02 |
Question 03 ;
Evaluate : lim ( tanx - sinx )/x³
x→0
Solution : View On this Page
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| Question 03 |
Question 04 ;
Evaluate : lim ( tanx - sinx )/ sin³x
x→0
Solution : View In this Page
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| Question 05 |
This Is complete Notes of Lecture 08 Of Chapter 01 Limits
Thank you for visiting ✔️
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