Mathematics Trigonometry Inverse Trigonometric Functions

What is the value of \(\cos ^{-1}\left(\frac{-1}{\sqrt{2}}\right)+\operatorname{cosec}^{-1}(2)\) ?

1
\(\frac{3\pi}{4}\)
2
\(\frac{11\pi}{12}\)
3
\(\frac{5\pi}{6}\)
4
\(\frac{12\pi}{13}\)

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