Q. If 6sin^2theta-11sin theta+4=0
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Answer:
6sin^2\theta-11sin\theta+4=0\\\\6sin^2\theta-8sin\theta-3sin\theta+4=0\\\\2sin\theta(3sin\theta-4)-1(3sin\theta-4)-=0\\\\(2sin\theta-1)(3sin\theta-4)=0\\\\sin\theta=\frac{1}{2},\:\frac{4}{3}
But,\: -1\leq\:sinx\:\leq\:1
Therefore,
sin\theta=\frac{1}{2}
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