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Question

Write the value of sin 12° sin 48° sin 54°.

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Solution

sin12° sin48° sin54°=122sin12° sin48° sin54°=12cos12°-48°-cos12°+48° sin54°=12cos-36°-cos60° sin54°=12sin54°cos36°-12=12sin90°-36° cos36°-14sin90°-36°=12cos236° -14cos36°=125+142-5+116 cos36°=5+14=125+1+2516-5+116=6+2532-5+116=6+25-25-232=432=18

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