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If sin2$$\theta$$ = 1/2
2$$\theta$$ = 30$$^{o}$$
$$\theta$$=15$$^{o}$$
cos(75$$^{o}$$- $$\theta$$) = cos(75$$^{o}$$ -15$$^{o}$$)=cos 60$$^{o}$$ = 1/2
Hence Option B is the correct answer.
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