$t a n 3 A - t a n 2 A - t a n A = t a n 3 A t a n 2 A t a n A$ .

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Solution

$t a n 3 A = t a n (2 A + A) t a n 3 A = (\frac{t a n 2 A + t a n A}{1 - t a n 2 A t a n A}) t a n 3 A - t a n 3 A t a n 2 A t a n A = t a n 2 A + t a n A ∴ t a n 3 A - t a n 2 A - t a n A = t a n 3 A \times t a n 2 A \times t a n A$

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