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The three sides of a right-angled triang...

The three sides of a right-angled triangle are in G.P (geometric progression). If the two acute angles be `alpha` and `beta`, then `tan alpha` and `tan beta` are

A

`(sqrt(5)+1)/(2)` and `(sqrt(5)-1)/(2)`

B

`sqrt((sqrt(5)+1)/(2))` and `sqrt((sqrt(5)-1)/(2))`

C

`sqrt(5)` and `(1)/(sqrt(5))`

D

`(sqrt(5))/(2)` and `(2)/(sqrt(5))`

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