Q. 17 A3.9( 8 Votes )

Prove that:

tan 8x – tan6x – tan 2x = tan 8x

tan 6x tan 2x

Answer :

We have 8x = 6x + 2x


tan 8x = tan(6x + 2x)


We know that



tan8x (1 – tan6x tan2x) = tan6x + tan2x


tan8x – tan8x tan 6x tan2x = tan6x + tan2x


tan8x – tan6x – tan2x = tan8x tan6x tan2x


Hence, proved.


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