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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