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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) \(\frac{1}{\sqrt{2}}\) |
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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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