Book: RS Aggarwal - Mathematics
Chapter: 4. Inverse Trigonometric Functions
Subject: Maths - Class 12th
Q. No. 4 D of Exercise 4C
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4 D
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)
From (2), A = cot-1 x,
= RHS
Therefore, LHS = RHS
Hence proved.
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