First slide

Introduction to ITF

Question

Find the value of $\tan [\cos^{- 1} (\frac{1}{2}) + \tan^{- 1} (- \frac{1}{\sqrt{3}})]$

Easy

Solution

Let
$\begin{matrix} y = \tan [\cos^{- 1} (\frac{1}{2}) + \tan^{- 1} (- \frac{1}{\sqrt{3}})] \\ = \tan [\frac{π}{3} + (- \frac{π}{6})] = \tan (\frac{π}{6}) = \frac{1}{\sqrt{3}} \end{matrix}$

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