Solving an equation with trigonometrics...



Interesting. Thanks!

2010/7/6 Sheldon Newhouse <sen1 at math.msu.edu>

> On 07/06/2010 11:29 AM, Julien Martin wrote:
>
>> Hello,
>>
>> I need to solve the following equation in order to find the value of
>> "y" using Maxima:
>>
>> x=-1/2*arctan(y/2)+3*%pi/8;
>>
>> I would like to get a value of "y" instead of this:
>> [arctan(y/2)=(3*%pi-8*x)/4]
>>
>> Can anyone help please?
>>
>> Thanks in advance,
>>
>> Julien.
>>
> You can see the associated maxima functions by typing
>
> (%i11) display2d: false;
>
> (%o11) false
> (%i12) apropos("sin");
>
> (%o12) [asin,asinh,decreasing,increasing,maxpsinegint,maxpsiposint,poisint,
>
> PSInv_1,PSInv_1_usg,require_posinteger,sin,sinh,sinsert,sinvertcase,
>        svd,svd_a,Sing_vals_usg,?%piargs\-sin\/cos]
> (%i13) ? asin;
>
>  -- Function: asin (<x>)
>     - Arc Sine.
>
>
>  There are also some inexact matches for `asin'.
>  Try `?? asin' to see them.
> (%i16) apropos("tan");
>
> (%o16)
> [constant,atan,atan2,atanh,constantp,intanalysis,integration_constant,
>        integration_constant_counter,pmin_dist,point_list_distance_usg,
>        pmax_dist,point_list_max_distance_usg,rectangle,resultant,tan,tanh,
>        ?%atan2,?%piargs\-tan\/cot]
> (%i17) ? atan;
>
>  -- Function: atan (<x>)
>     - Arc Tangent.
>
>
>  There are also some inexact matches for `atan'.
>  Try `?? atan' to see them.
>
> (%o17) true
>
> HTH,
>  -sen
>
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