1.

The value of \(\frac{3tan10°-tan^310°}{1-3tan^210°}\) is:(a) \(\frac{1}{\sqrt{3}}\)(b) \(\frac{1}{2}\)(c) \(\frac{\sqrt{3}}{2}\)(d) \(\frac{1}{\sqrt{2}}\)

Answer»

(a) \(\frac{1}{\sqrt{3}}\)

\(\frac{3tan10°-tan^310°}{1-3tan^210°}\) = tan(3 x 10°) [∵ tan 3A = \(\frac{3tanA-tan^3A}{1-3tan^2A}\)]

= tan 30°

\(\frac{1}{\sqrt{3}}\)



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