Find the range of the following  function:

$f\left(x\right)=2+5\sin 3x$

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

[Enter numerical value]

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 $\cos x=-\frac{1}{3}$.

[Enter numerical value]

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 $k+m=$