Prove that:

To Prove: ![]()
Formula Used:
1) ![]()
2) cosec2 A = 1 + cot2 A
3) ![]()
4) ![]()
Proof:
LHS ![]()
Let x = cot A
LHS ![]()
= cot-1(cosec A – cot A)
![]()

![]()
![]()
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From (2), A = cot-1 x,
![]()
= RHS
Therefore, LHS = RHS
Hence proved.
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