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

The value of 'x' satisfying the equation 3cosec x=4sinx are
  1. π6,π3
  2. ±π6
  3. ±π3
  4. π3,π4

Solution

Given 3cosecx=4sinx

⇒3sinx=4sinx

⇒4sin2x=3

⇒sin2x=34

⇒sinx=±32

Hence, the values of x are ±π3.

Asked in: AP EAMCET 2021 (19 Aug Shift 1)

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