Melody

Hi Alan,

You have not answered the same question as I did, and neither of us answered the question that was actually asked.  I think that this is quite funny.

I'm going to try and answer the original question.

acot(sec(acsc -2sqrt 3/2))

I think technically this should be interpreted as;

$$\\acot(sec(\frac{acsc (-2) *\sqrt 3)}{2}))\\\\
=acot(sec(\frac{asin (\frac{1}{-2}) *\sqrt 3)}{2}))\\\\
=acot(sec(\frac{\frac{-\pi}{6} *\sqrt 3)}{2}))\\\\
=acot(sec(\frac{-\sqrt 3\pi}{12} ))\\\\$$

$${sec}{\left({\mathtt{\,-\,}}{\frac{\left({\frac{{\mathtt{180}}}{{\mathtt{\pi}}}}\right){\mathtt{\,\times\,}}{\sqrt{{\mathtt{3}}}}{\mathtt{\,\times\,}}{\mathtt{\pi}}}{{\mathtt{12}}}}\right)} = {\mathtt{1.112\: \!419\: \!829\: \!676\: \!128\: \!1}}$$

$${acot}{\left({sec}{\left({\mathtt{\,-\,}}{\frac{\left({\frac{{\mathtt{180}}}{{\mathtt{\pi}}}}\right){\mathtt{\,\times\,}}{\sqrt{{\mathtt{3}}}}{\mathtt{\,\times\,}}{\mathtt{\pi}}}{{\mathtt{12}}}}\right)}\right)} = {\mathtt{41.953\: \!677\: \!923\: \!85^{\circ}}}$$

Check with Wolfram|Alpha

acot

ex

acot(1.2)

$${acot}{\left({\mathtt{1.2}}\right)} = {\mathtt{39.805\: \!571\: \!092\: \!265^{\circ}}}$$

$$\frac{\sqrt{4}}{6}=\frac{2}{6}=\frac{1}{3}$$

arctg (3/pi*24.5)

$$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{tan}}^{\!\!\mathtt{-1}}{\left({\frac{{\mathtt{3}}}{{\mathtt{\pi}}}}{\mathtt{\,\times\,}}{\mathtt{24.5}}\right)} = {\mathtt{87.552\: \!510\: \!157\: \!771^{\circ}}}$$

do you mean

If     $$x=(-3)^3$$     , which expression is equal to $$(-3)^6$$         ?

$$(-3)^6=(-3^3)^2=x^2$$

Not quite Sasini

$$\\e=\frac{m}{c^2}\\\\
c^2=\frac{m}{e}\\\\
c=\pm \sqrt{\frac{m}{e}}$$

It is 1

$$let x=0.\bar{9}$$

10x=9.9999999999999...

    x=0.999999999999.....

subtract

 9x = 9

x=9/9

x=1

583

538

385

358

835

853

Is that what you mean?

They are all the permutaions of 8,5 and 3

Thanks Rosala. :)

There are no real solutions to this.

$$-1\le sin\theta \le 1$$