Prove the following results:

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