We have to find the solutions of the equation: (2*cos x - sqrt 3) (11*sin x - 9 ) = 0.

If 2*cos x - sqrt 3 =0

=> cos x = sqrt 3/2

=> x arc cos (sqrt 3 / 2)

=> x = pi/6 + 2*n*pi

If 11*sin x - 9 = 0

=> sin x = 9/11

=> x = arc sin ( 9/11) + 2*n* pi

**The required solutions are x = pi/6 + 2*n*pi and x = arc sin ( 9/11) + 2*n* pi**

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