1.

Evaluate \(\cos \begin{Bmatrix}\cos^{-1}\left(\frac{-\sqrt{3}}{2}+\frac{\pi}{6}\right)\end{Bmatrix}.\)

Answer»

\(\cos \begin{Bmatrix}\cos^{-1}\left(\pi-\frac{\pi}{6}+\frac{\pi}{6}\right)\end{Bmatrix}.\)

\(=\cos\{\pi\}\)

\(=\cos\left(\frac{\pi}{2}+\frac{\pi}{2}\right)\)

= -1



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