Question

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Answer 1

Answer:

To prove;

tan8x-tan5x-tan3x = tan8x•tan5x•tan3x

Also, tan8x can be written as tan(5x+3x)

Thus,

We have;

=> tan8x = tan(5x+3x)

=> tan8x=(tan5x+tan3x)/(1-tan5x•tan3x)

Formula used:

{tan(A+B)=(tanA+tanB)/(1-tanA•tanB)}

=> tan8x(1-tan5x•tan3x) = tan5x + tan3x

=> tan8x - tan8x•tan5x•tan3x

=tan5x + tan3x

=> tan8x - tan5x - tan3x

= tan8x•tan5x•tan3x

hence proved.

Answer 2

${\textbf{Answer}}$

Answer in ATTATCHMENT.........