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Prove that sin20°. sin40°. sin60°. sin80° = 3/16

Prove that sin20°.  sin40°. sin60°. sin80° = 3/16

Grade:12

1 Answers

md salik
31 Points
9 years ago

=sin20 sin40 sin80 sin60

=1/4 sin60 sin 60          {sinx sin(60-x) sin(60+x)=1/4 sin 3x}

=1/4 *(sin 60)2

=1/4 *3/4

=3/16

proved

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