Math, asked by chshia22, 1 year ago

Sin20sin40sin80=root3/8 please solve the problem

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Answered by InvincibleBoy
0
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(sin(100)+sin(60)) - (1/2)(sin(140)+sin(20))] 
                       = (1/4)[sin(80) + sin(60) - sin(40) - sin(20)] 
                       = (1/4)sin(60), since sin(80) - sin(40) - sin(20) = sin(60+20) -                              sin(60-20) - sin(20) = 2cos(60)sin(20) - sin(20) = 0 
                       = √3/8


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