Prove that

To prove: ![]()
Taking LHS,
![]()
Putting π = 180°
![]()
= tan2 60° + 2 cos2 45° + 3 sec2 30° + 4 cos2 90°
Now, we know that,
![]()
![]()
![]()
![]()
Putting the values, we get
![]()
![]()
= 3 + 1 + 4
= 8
= RHS
∴ LHS = RHS
Hence Proved
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