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

The three sides of a right-angled triangle are in G.P. (gcometric 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))`

Text Solution

Verified by Experts

The correct Answer is:
B
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