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AP EAMCET202119 Aug 2021Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

The value of ' x ' satisfying the equation 3 cosec x = 4 sin x are

Options

  1. Aπ 6 , π 3
  2. B± π 6
  3. C± π 3
  4. Dπ 3 , π 4

Correct answer

C. ± π 3

Step-by-step solution

Given 3 cosec x = 4 sin x ⇒ 3 sin x = 4 sin x ⇒ 4 sin 2 x = 3 ⇒ sin 2 x = 3 4 ⇒ sin x = ± 3 2 Hence, the values of x are ± π 3 .

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