$\tan^{-1} (-1) - 2\cos^{-1}(-\frac{1}{2}) + \sin^{-1}(\frac{1}{2})$

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Find principal value of $\tan^{-1} (-1) - 2\cos^{-1}(-\frac{1}{2}) + \sin^{-1}(\frac{1}{2})$.How?

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$$-\frac{\pi}{4}-2\cdot\frac{2\pi}{3}+\frac{\pi}{6}$$