Prove that
To Prove:
Taking LHS,
= cosx cos2x cos4x cos8x
Multiply and divide by 2sinx, we get
[∵ sin 2x = 2 sinx cosx]
Multiply and divide by 2, we get
We know that,
sin 2x = 2 sinx cosx
Replacing x by 2x, we get
sin 2(2x) = 2 sin(2x) cos(2x)
or sin 4x = 2 sin 2x cos 2x
Multiply and divide by 2, we get
We know that,
sin 2x = 2 sinx cosx
Replacing x by 4x, we get
sin 2(4x) = 2 sin(4x) cos(4x)
or sin 8x = 2 sin 4x cos 4x
Multiply and divide by 2, we get
We know that,
sin 2x = 2 sinx cosx
Replacing x by 8x, we get
sin 2(8x) = 2 sin(8x) cos(8x)
or sin 16x = 2 sin 8x cos 8x
= RHS
∴ LHS = RHS
Hence Proved