Math, asked by stephanandiliama, 1 year ago

Show that COS 20 degree . COS 30 degree . COS 40 degree . COS 80 degree = root3/16

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Answered by abhi178

22

cos20.co30.cos40.cos80=root3/16

LHS=1/2 {2cos20.cos40} cos30.cos80

=1/2 {cos60+cos20} cos30.cos80

=1/4cos30.cos80+1/2cos30.co20.cos80

=root3/8.cos80 +root3/8 {2cos20.cos80}

=root3/8.cos80+ root3/8 (cos100+cos60)

=root3/8cos80 +root3/8ccos (180-80)+root3/8cos60

=root3/16=RHS

abhi178: please mark as brainliest

Answered by Siddardhayt

3

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