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Q.

The value of 2 sin 12° -sin72° is :

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a

 3(1-5)2

b

 1-58

c

 3(1-5)4

d

 5(1-3)4

answer is D.

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Detailed Solution

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sin12°+sin12°-sin72° =sin12°-2cos42°sin30°  sinC-sinD=2cosC+D2sinC-D2 =sin12°-sin48° =-2cos30°sin18° =-2×32×5-14 =34(1-5) Option (D) is Correct

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