Question

prove
plz do fast, its urgent

Answer 1

Hey !!!!

tan(A + B )
------------------
cot( A - B )

tan ( A + B )
-------------------
1/tan(A - B )

°•° tan ( A + B ) = tanA + tanB /1 - tanAtanB

and tan ( A - B ) = tanA - tanB/1 + tanA×tanB

hence ,

tanA + tanB/ 1 - tanA×tanB
-------------------------------------
1/ tanA - tanB/ 1 + tanA tanB

(tanA + tanB ) ( tanA - tanB )
-----------------------------------------
( 1 - tanAtanB ) ( 1 - tanAtanB )

tan²A - tan²B
--------------------- RHS prooved ♻
1 - tan²A tan²B

_____________________________

Hope it helps you !!!

@Rajukumar111

Answer 2

here is the answer u can understand easily