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Hey guys, got a small problem and need some help
Homework Statement
Show that
[tex] \arctan{\left( \frac{x}{2} \right)} = \arccos{\left(\frac{2}{\sqrt{4+x^2}}\right)} \ \mbox{for x}\epsilon\mbox{R} [/tex]
The attempt at a solution
Honestly Im pretty stumped from the very beginning....
The only thing I can currently think of to do is go...
[tex] \arctan{\frac{x}{2}} = \frac{\arcsin{\frac{x}{2}}}{\arccos{\frac{x}{2}}} [/tex]
but Im not sure if that is even correct....
Even still, if that is valid, Im still pretty unsure what Im meant to do next..
Any hints to point me in the right direction would be much appreciated
I hope I did the Latex stuff right, its my first time using it..
Homework Statement
Show that
[tex] \arctan{\left( \frac{x}{2} \right)} = \arccos{\left(\frac{2}{\sqrt{4+x^2}}\right)} \ \mbox{for x}\epsilon\mbox{R} [/tex]
The attempt at a solution
Honestly Im pretty stumped from the very beginning....
The only thing I can currently think of to do is go...
[tex] \arctan{\frac{x}{2}} = \frac{\arcsin{\frac{x}{2}}}{\arccos{\frac{x}{2}}} [/tex]
but Im not sure if that is even correct....
Even still, if that is valid, Im still pretty unsure what Im meant to do next..
Any hints to point me in the right direction would be much appreciated

I hope I did the Latex stuff right, its my first time using it..
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