Solving trigonometric functions

asked 2012-09-25 13:19:08 +0100

happosade gravatar image

updated 2012-09-25 14:27:59 +0100

kcrisman gravatar image

Hi

I have quite complex trigonometric function to solve, but sage only solves sin(alpha) and leaves some cos(alpha) on the other side. It is hard to explain, but see the link below: http://sage.ehasa.org:8080/home/pub/2/

Update: the things in question:

var('x,p,k,y,g,v,alpha')
A=-(g/(2*(v*cos(alpha))^2))
k=((v*cos(alpha))/(v*sin(alpha)))
p=(g*x)/(v*sin(alpha)^2)
B=(k+p)
C=(y-k*x-p*x^2)
(A+B+C).solve(alpha)

(It would be also nice to generate dynamic function where I put v, x and y. Tried something but I wasn't able to do that, help please?)

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Comments

In the future, please simply post your code. It was not terribly long in this case.

kcrisman gravatar imagekcrisman ( 2012-09-25 14:28:27 +0100 )edit
1

In this case, Sage is giving an implicit solution. You can try to force an explicit solution with `(A+B+C).solve(alpha, explicit_solutions=True)`, but Sage can't find any for this particular equation.

John Palmieri gravatar imageJohn Palmieri ( 2012-09-25 15:35:45 +0100 )edit