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MHT CET20192 May 2019Morning ShiftMathematicsTrigonometric EquationsActual

The values of x in 0 , π 2 satisfying the equation sin ⁡ x cos ⁡ x = 1 4 are ________

Options

  1. Aπ 6 , π 12
  2. Bπ 12 , 5 π 12
  3. Cπ 8 , 3 π 8
  4. Dπ 8 , π 4

Correct answer

B. π 12 , 5 π 12

Step-by-step solution

Given: Equation sin ⁡ x . cos ⁡ x = 1 4 then s i n 2 x = 1 2 2 x = π 6 , 5 π 6 ⇒ x = π 12 , 5 π 12

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