Prove the following results:

Let
and 
⇒
and 
where 
Now, LHS is reduced to : tan(x+y)
⇒
..eq (i)..
As
where 
⇒ 
⇒ 
⇒ 
⇒ 
Now putting the values of tan x and tan y in eq(i)
⇒ 
⇒ 
= RHS
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