If $y\left( \alpha \right) = \sqrt {2\left( {{{\tan \alpha + \cot \alpha } \over {1 + {{\tan }^2}\alpha }}} \right) + {1 \over {{{\sin }^2}\alpha }}} ,\alpha \in \left( {{{3\pi } \over 4},\pi } \right)$ ${{dy} \over {d\alpha }}\,\,at\,\alpha = {{5\pi } \over 6}is$ :

Question

If $y\left( \alpha \right) = \sqrt {2\left( {{{\tan \alpha + \cot \alpha } \over {1 + {{\tan }^2}\alpha }}} \right) + {1 \over {{{\sin }^2}\alpha }}} ,\alpha \in \left( {{{3\pi } \over 4},\pi } \right)$

${{dy} \over {d\alpha }}\,\,at\,\alpha = {{5\pi } \over 6}is$ :

-4

${4 \over 3}$

-${1 \over 4}$

Solution

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