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Introduction

tan 3x tan 2x...

Question

$t a n 3 x t a n 2 x t a n x =$ _______

t a n 3 x + t a n 2 x + t a n x

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t a n 3 x + t a n 2 x - t a n x

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t a n 3 x - t a n 2 x - t a n x

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t a n 3 x - t a n 2 x + t a n x

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Solution

The correct option is C $t a n 3 x - t a n 2 x - t a n x$
We know that $3 x = 2 x + x$
Therefore, $t a n 3 x = t a n (2 x + x)$
or, $t a n 3 x = \frac{t a n 2 x + t a n x}{1 - t a n 2 x t a n x}$
or, $t a n 3 x - t a n 3 x t a n 2 x t a n x = t a n 2 x + t a n x$

or, $t a n 3 x - t a n 2 x - t a n x = t a n 3 x t a n 2 x t a n$
or, $t a n 3 x t a n 2 x t a n = t a n 3 x - t a n 2 x - t a n x$

Suggest Corrections

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