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Question

Which of the following is not the root of x334x+18=0
  1. sin10  
  2. sin130    
  3. sin100    
  4. sin(110)    


Solution

The correct option is C sin100    
Let x=sinθ,
sin3θ34sinθ+184sin3θ3sinθ=12sin3θ=12
From the given options  
sin(3×100)=3212
Rest all will be roots of the equation.

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