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If alpha+beta=45^(@), show that : (1+tan...

If `alpha+beta=45^(@)`, show that : `(1+tanalpha)(1+tanbeta)=2.` Hence, find the value of `tan(22(1^(@))/(2))`.

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The correct Answer is:
`=sqrt2-1`
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MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES AND FACTORIZATION FORMULAE-MCQs
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  11. For any angles A and B, cos(A+B).cos(A-B)=…..

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