Prove that:

To Prove: ![]()
Formula Used:
1) ![]()
2) ![]()
Proof:
LHS
… (1)

![]()
… (2)
Substituting (2) in (1), we get
LHS
… (3)
Let ![]()
Therefore
… (4)

From the figure, ![]()
… (5)
From (4) and (5),
… (6)
Substituting (6) in (3), we get
LHS ![]()

![]()
![]()
= tan-1 1
![]()
= RHS
Therefore, LHS = RHS
Hence proved.