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MHT CET2019Evening ShiftMathematicsInverse Trigonometric FunctionsActual

If 4 s i n - 1 x + 6 c o s - 1 x = 3 π then x = …..

Options

  1. A1 2
  2. B1 2
  3. C0
  4. D- 1 2

Correct answer

C. 0

Step-by-step solution

We have, 4 s i n - 1 x + 6 c o s - 1 x = 3 π ⇒ 4 s i n - 1 x + 6 π 2 - s i n - 1 x = 3 π ⇒ 4 s i n - 1 x + 3 π - 6 s i n - 1 x = 3 π ⇒ - 2 s i n - 1 x = 0 ⇒ s i n - 1 x = 0 ⇒ x = sin ⁡ 0 = 0

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