In which quadrant does $x$ lie if $\cos x$ is positive and $\tan x$ is negative.

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In which quadrant does $x$ lie if both $\sin x$ and $\cos x$ are negative.

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In which quadrant does $x$ lie if $\sin x=\frac{4}{5}$ and $\cos x=-\frac{3}{5}$.

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In which quadrant does $x$ lie if $\sin x=\frac{2}{3}$ and $\cos x=-\frac{1}{3}$.

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Find the value of the following:

$\tan \frac{25\pi }{4}$

If the value of $\sin \frac{31\pi }{3}$ is $\frac{\sqrt{k}}{m}$, then $k+m=$

Find the value of the following:
$\sec \frac{5\pi }{3}$

Find the value of the the following:

$\cot \left(-\frac{7\pi }{4}\right)$

If the value of $\sin \left(-\frac{17\pi }{3}\right)=\frac{\sqrt{k}}{2}$ then find the value of $k$.