Ex 2.2, 3 - Prove tan-1 2/11 + tan-1 7/24 = tan-1 1/2 - Ex 2.2

  1. Chapter 2 Class 12 Inverse Trigonometric Functions
  2. Serial order wise
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Ex2.2, 3 Prove  tan-1 2/11 + tan-1 7/24 = tan-1 1/2 Taking L.H.S. tan-1 2/11 + tan-1 7/24 = "tan−1" ((2/11 + 7/24)/(1− 2/11 × 7/24)) = tan-1 ((2/11 + 7/24)/(1− (7 × 1)/(11 × 12)))= tan-1 (((24 × 2 + 7 × 11)/(24 × 11))/((11 × 12 − 7)/(11 × 12))) = tan-1 (((48 + 77)/(24 × 11))/((132 − 7)/(11 × 12))) = tan-1 ((125/(24 × 11))/(125/(11 × 12)))= tan-1 (125/(24 × 11) × (11 × 12)/125) = tan-1 (1/2) = R.H.S. Hence. R.H.S. = L.H.S. Hence Proved

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