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99 Percentile Qs Bank for JEE MainMathematicsInverse Trigonometric Functions

If sin - 1 tan π 4 - sin - 1 3 x = π 6 , then x is a root of the equation

Options

  1. Ax 2 - x - 6 = 0
  2. Bx 2 + x - 6 = 0
  3. Cx 2 - x - 12 = 0
  4. Dx 2 + x - 12 = 0

Correct answer

C. x 2 - x - 12 = 0

Step-by-step solution

sin - 1 1 - π 6 = sin - 1 3 x π 2 - π 6 = sin - 1 3 x 3 x = 3 2 ⇒   x = 4

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