Question 142

If sin 2θ =1/2, then the value of cos (75°­ - θ) is :

Solution

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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