Math, asked by Lesliemaddison7510, 1 year ago

Prove that sin 20(degree) sin 40(degree ) sin 60(degree) sin 80(degree) = 3/16

Answers

Answered by tahavora2003
10
sin20. sin 40. sin60. sin80 

=> sin60[sin20.sin40.sin80] 

=>√3/2[sin20.sin(60-20).sin(60+20)] 

=>√3/2[sin 3(20)/4] 

=>√3/2[sin 60/4] 

=>√3/2[√3/2*4] 

=>√3/2*√3/8 

=3/16 
 
hope it's help u
Answered by Inflameroftheancient
4
DEAR STUDENT,

Kindly check the attached papers for a detailed solution along with step by step elaboration to reach our final solution that is our final desired or required answer to this query that is completely proved.

\boxed{\bf{\underline{L.H.S. = R.H.S.}}}

Which is the required proof or solution process for this type of query.

Hope this helps you and solves your doubts for applying trigonometric identifies to reach a proper solution or a proof!!!!!
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