Question 3: Prove tan¯¹ 2/11 + tan-1 7/24 = tan-1 1/2
Class 12 - Math - Inverse Trigonometric Functions
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To prove: tan-1
2
/11
+ tan-1
7
/24
= tan-1
1
/2
LHS = tan-1 2 /11 + tan-1 7 /24
= −¹ ( 2 /11 + 7 /24 /1 − 2 /11 × 7 /24 )
= −¹ (125/250)
= tan-¹(1/2)
Hence LHS = RHS
LHS = tan-1 2 /11 + tan-1 7 /24
= −¹ ( 2 /11 + 7 /24 /1 − 2 /11 × 7 /24 )
= −¹ (125/250)
= tan-¹(1/2)
Hence LHS = RHS
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