Question

cos x × cos 2 X ×cos 4 x × cos 8 X = sin 16 X / 16 sin x

Answer 1

ans-

RHS

sin 16x=sin2(2x)

since,sin 2x=2sinxcosx

=2sin8xcos8x

=2sin2(4x)cos8x

=2(2)sin(4x)cos8x

=4sin4xcos4xcos8x

=4sin2(2x)cos4xcos8x

=4(2)sin2xcos2xcos4xcos8x

=8(2)sinxcosxcos2xcos4xcos8x

=16sinxcosxcos2xcos4xcos8x

taking 16sinx to LHS

therefore,sin 16x/ 16 sinx= cosxcos2xcos4xcos8x

hence prooved

Answer 2

Answer:

Answer attached in the image above.

Hope this helps you.

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