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AP EAMCET · Maths · Trigonometric Ratios & Identities

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

  1. A π6,π3
  2. B ±π6
  3. C ±π3
  4. D π3,π4
Verified Solution

Answer & Solution

Correct Answer

(C) ±π3

Step-by-step Solution

Detailed explanation

Given 3cosecx=4sinx ⇒3sinx=4sinx ⇒4sin2x=3 ⇒sin2x=34 ⇒sinx=±32 Hence, the values of x are ±π3.