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If (sinA)/(sinB)=(sqrt(3))/(2) and (cos...

If `(sinA)/(sinB)=(sqrt(3))/(2) and (cosA)/(cosB)=(sqrt(5))/(2) , 0 lt A, B lt (pi)/(2)` then `tanA+tanB` is equal to :

A

`sqrt((3)/(5))`

B

`sqrt((5)/(3))`

C

`(sqrt(3)+sqrt(5))/(sqrt(5))`

D

`(sqrt(3)+sqrt(5))/(sqrt(3))`

Text Solution

Verified by Experts

The correct Answer is:
C
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