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If (sqrt(2)cos alpha)/sqrt(1-cos2 alpha)...

If `(sqrt(2)cos alpha)/sqrt(1-cos2 alpha)=1/7`and `sqrt((1+cos 2 beta)/2)=1/sqrt10,alpha,beta in (pi/2,pi)`, then `tan (2 alpha - beta)`is equal to ........

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The correct Answer is:
13
`(sqrt2cos alpha)/(sqrt2sin alpha)=1/7impliestanalpha=7impliestan2alpha=(-7)/24`
`cosbeta=-1/sqrt10impliestanbeta=-3`
`tan(2alpha-beta)=(tan2alpha-tanbeta)/(1+tan2alphatanbeta)=13/9`
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