Home
Class 11
MATHS
lim(xto0) (sin(alpha+beta)x+sin(alpha-be...

`lim_(xto0) (sin(alpha+beta)x+sin(alpha-beta)x+sin2alphax)/(cos2betax-cos2alphax).x`

Text Solution

AI Generated Solution

To solve the limit \[ \lim_{x \to 0} \frac{\sin(\alpha + \beta)x + \sin(\alpha - \beta)x + \sin(2\alpha x)}{\cos(2\beta x) - \cos(2\alpha x)} \cdot x, \] we will use trigonometric identities and properties of limits. ...
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    NCERT EXEMPLAR ENGLISH|Exercise OBJECTIVE TYPE QUESTIONS|23 Videos

  • LIMITS AND DERIVATIVES

    NCERT EXEMPLAR ENGLISH|Exercise FILLERS|4 Videos

  • LIMITS AND DERIVATIVES

    NCERT EXEMPLAR ENGLISH|Exercise FILLERS|4 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NCERT EXEMPLAR ENGLISH|Exercise Fillers|16 Videos

  • LINEAR INEQUALITIES

    NCERT EXEMPLAR ENGLISH|Exercise Objective Type Questions|14 Videos

Similar Questions

Explore conceptually related problems

If cos(alpha+beta)=0 then sin(alpha+2beta)=

Prove that: cos2alpha\ cos2beta+sin^2(alpha-beta)-sin^2(alpha+beta)=cos2(alpha+beta) .

If tan alpha ,tan beta are th roots of the eqution x^2+px+q=0 (p != 0) Then sin^2(alpha+beta)+p sin(alpha+beta)cos(alpha+beta)+qcos^2(alpha+beta)=

If tan alpha ,tan beta are th roots of the eqution x^2+px+q=0 (p != 0) Then sin^2(alpha+beta)+p sin(alpha+beta)cos(alpha+beta)+qcos^2(alpha+beta)=

Prove that: tan(alpha+beta)tan(alpha-beta)=(sin^2 alpha-sin^2 beta)/(cos^2 alpha-sin^2 beta)

Simplify 2sin^2beta+4cos(alpha+beta)sinalphasinbeta+cos2(alpha+beta)

Q. If tan alpha and tan beta are the roots of equation x^2-12x-3=0 , then the value of sin^2(alpha+beta)+2sin(alpha+beta)cos(alpha+beta)+5cos^2(alpha+beta) is

Prove that 2 sin^2 beta + 4 cos(alpha + beta) sin alpha sin beta + cos 2(alpha + beta) = cos 2alpha

If tan (alpha-beta)=(sin 2beta)/(3-cos 2beta) , then

If x =cos alpha+cos beta-cos(alpha+beta) and y=4 sin.(alpha)/(2)sin.(beta)/(2)cos.((alpha+beta)/(2)) , then (x-y) equals