sin20 sin 40 sin60 sin 80
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Answered by
10
sin20. sin 40. sin60. sin80
= sin60[sin20.sin40.sin80]
=sqrt3 / 2 [sin20.sin(60-20).sin(60+20)]
=sqrt3 / 2 [sin 3(20)/4]
= sqrt3 / 2 [sin 60/4]
= sqrt3 / 2 [√3/2*4]
=sqrt3 /2 * sqrt3 /8
=3/16
= sin60[sin20.sin40.sin80]
=sqrt3 / 2 [sin20.sin(60-20).sin(60+20)]
=sqrt3 / 2 [sin 3(20)/4]
= sqrt3 / 2 [sin 60/4]
= sqrt3 / 2 [√3/2*4]
=sqrt3 /2 * sqrt3 /8
=3/16
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2
−0.4651249 is the answer of this question
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