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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
`(sqrt2 cos alpha)/(sqrt2 sin alpha)=1/7 rArr " "tan alpha = 7 rArr tan 2 alpha = (-7)/24`
`cos beta = -1/sqrt10rArr " "tan beta = -3`
`tan (2 alpha - beta )=(tan 2 alhpa - tan beta)/(1 + tan 2 alpha tan beta )=13/9`
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