Home
Class 12
MATHS
If alpha, beta in (-(pi)/(2),0) such tha...

If `alpha, beta in (-(pi)/(2),0)` such that `(sin alpha + sin beta) + (sin alpha )/( sin beta)=0 and (sin alpha + sin beta) (sin alpha )/( sin beta) =-1` and `lamda = lim _(xtooo)(1+ (2 sin alpha )^(2n))/((2 sin beta)^(2n))` then:

A

`alpha = - (pi)/(6)`

B

`lamda =2`

C

`alpha =- (pi)/(3)`

D

`lamda =1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • LIMIT

    VK JAISWAL ENGLISH|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|8 Videos

  • LIMIT

    VK JAISWAL ENGLISH|Exercise EXERCISE (MATCHING TYPE PROBLEMS)|1 Videos

  • LIMIT

    VK JAISWAL ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|7 Videos

  • INVERSE TRIGONOMETRIC FUNTIONS

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|6 Videos

  • LOGARITHMS

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|19 Videos

Similar Questions

Explore conceptually related problems

Prove that (sin alpha cos beta + cos alpha sin beta) ^(2) + (cos alpha coa beta - sin alpha sin beta) ^(2) =1.

Show that: sin^2 alpha + sin^2 beta + 2sinalpha sinbeta cos(alpha+beta)=sin^2 (alpha+beta)

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

Show that (sin (alpha + beta))/( sin (alpha + beta)) = 2, given that tan alpha = 2 tan beta.

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

If cot (alpha + beta) = 0 , then sin (alpha + 2 beta) is equal to

Evaluate : |{:( 0, sin alpha , - cos alpha ), ( - sin alpha , 0 , sin beta) , (cos alpha , -sin beta , 0):}|

If sin alpha + sin beta=a and cos alpha+cosbeta=b then tan((alpha-beta)/2) is equal to

If sin alpha sin beta - cos alpha cos beta + 1=0, then the value of 1+cot alpha tan beta is

(sinalpha+sinbeta-sin(alpha+beta))/(sinalpha+sinbeta+sin(alpha+beta))=tan(alpha/2)tan(beta/2)