Book: RS Aggarwal - Mathematics
Chapter: 4. Inverse Trigonometric Functions
Subject: Maths - Class 12th
Q. No. 7 G of Exercise 4C
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7 G
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.
Chapter Exercises
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1 A
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1 B
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3 A
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3 B
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3 C
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3 D
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6 H
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7 A
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7 B
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7 C
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7 D
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7 E
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7 F
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7 G
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8 A
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8 B
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