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If alpha,beta in (-pi/2,0) such that (si...

If `alpha,beta in (-pi/2,0)` such that `(sin alpha+sinbeta)+(sinalpha)/(sinbeta)=0 and (sinalpha+sinbeta) (sinalpha)/(sinbeta)=-1 and lambda=lim_(n->oo) (1+(2sinalpha)^(2n))/((2sinbeta)^(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
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