Ex 2.2, 14 - If sin (sin-1 1/5 + cos-1 x) = 1, find x - CBSE - Formulae based

  1. Chapter 2 Class 12 Inverse Trigonometric Functions
  2. Serial order wise
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Ex2.2, 14 If sin ("sin−1 " 1/5 " + cos−1 x" ) = 1 , then find the value of x. sin ("sin−1 " 1/5 " + cos−1 x" ) = 1 We know that sin 90° = 1 i.e. sin π/2 = 1 Comparing (1) & (2) sin ("sin−1 " 1/5 " + cos−1 x" ) = sin π/2 Comparing angles "sin−1 " 1/5 + "cos−1 x" = 𝜋/2 "sin−1 " 1/5 = 𝜋/2 – "cos−1 x" sin-1 1/5 = sin-1 x 1/5 = x x = 1/5 Hence, x = 1/5

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