Question

Show that tan inverse of 1/2+tan inverse of 2/11 + tan inverse of 3/4​

Answer 1

HERE IS YOURS ANSWER:

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