Question

tan8thita - tan5thita - tan3thita = tan 8thita tan5thita tan3thita​

Answer 1

Answer:

what??????...................

Answer 2

Step-by-step explanation:

I m writing x instead of theta. Both will of course mean the same.

Tan8x=tan(5x+3x)

=( Tan5x+tan3x)/(1-tan5xtan3x)

I've used tan(a+b) formula

Now if I multiply both sides by 1-tan5xtan3x,

I get:

Tan8x-tan8xtan5xtan3x= tan5x+tan3x

Or, tan8x-tan5x-tan3x= tan8xtan5xtan3x

Hence proved

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Note: user rahfar5 deleted my previous answer because he thought that I misinterpreted the question. Sir, this is the correct answer to the best of my knowledge and I was thanked by him for this answer. I believe you've misunderstood the question. Please recheck before deleting. Greets. Hope you understand.