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Question Number 189428 by Rupesh123 last updated on 16/Mar/23

	Answered by BaliramKumar last updated on 16/Mar/23

	$t a n x t a n (60 ° + x) t a n (60 ° - x)$ $t a n x [\frac{t a n 60 ° + t a n x}{1 - t a n 60 ° t a n x}] [\frac{t a n 60 ° - t a n x}{1 + t a n 60 ° t a n x}]$ $t a n x [\frac{\sqrt{3} + t a n x}{1 - \sqrt{3} t a n x}] [\frac{\sqrt{3} - t a n x}{1 + \sqrt{3} t a n x}]$ $t a n x [\frac{(3 - {t a n}^{2} x}{1 - 3 {t a n}^{2} x}]$ $[\frac{(3 t a n x - {t a n}^{3} x}{1 - 3 {t a n}^{2} x}] = t a n 3 x$
	Commented by Rupesh123 last updated on 18/Mar/23
	Excellent!
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