Write the principal value of $\tan ^{-1}(1)+\cos ^{-1}\left(-\frac{1}{2}\right)$.
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Write the principal value of $\tan ^{-1}(1)+\cos ^{-1}\left(-\frac{1}{2}\right)$.

Write the principal value of $\tan ^{-1}(1)+\cos ^{-1}\left(-\frac{1}{2}\right)$.
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Write the principal value of $\tan ^{-1}(1)+\cos ^{-1}\left(-\frac{1}{2}\right)$.
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SOLUTION : $\quad \tan (1)+\cos ^{-1}\left(\frac{-1}{2}\right)=\frac{\pi}{4}+\frac{2 \pi}{3}=\frac{3 \pi+8 \pi}{12}=\frac{11 \pi}{12}$ 

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