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phi-pi

s:2.50;

r:4.50;

pi:3.141592654;

Calculate

phi-sin

[r=sin(phi)^2,r^2=x^2...

Calculate

phi-ratsimp-sqrt

phi(z) := (1+z+z^2)/3;

g(z) := (3-z+sqrt(9-6...

ratsimp( z*phi( g(z) ...

Calculate

phi-sin-solve

S : (sin(phi)-sin(phi...

solve([s=S],[phi]);

Calculate

phi-sin-subst-taylor

f:taylor(sin(%pi/6+x));

f1:subst(x=%pi/24,f);

v:%phi;

Calculate

phi-sinh-taylor

cbar: (1/xi)*sinh(xi*...

taylor(cbar,xi,0,3);

Calculate

phi

Run Example
(%i1)w: sqrt(x*x+y*y);
                                       2    2
(%o1)                            sqrt(y  + x )
(%i2) dx: diff(theta*sin(phi));
(%o2)            sin(phi) del(theta) + cos(phi) theta del(phi)
(%i3) 
Run Example
matrix([1, 0, 0], [0, cos(phi),sin(phi)], [0, -sin(phi), cos(phi)]) * matrix([cos(theta), 0, -sin(theta)], [0,1,0], [sin(theta), 0, cos(theta)]) *matrix([cos(psi), sin(psi), 0], [-sin(psi), cos(psi), 0], [0, 0, 1]);
        [ cos(psi) cos(theta)          0                   0          ]
        [                                                             ]
(%o1)   [          0           cos(phi) cos(psi)           0          ]
        [                                                             ]
        [          0                   0          cos(phi) cos(theta) ]
(%i2) 
Run Example
eq1:f*sin(a)-p*sin(a)-mu*N=0;
(%o1)                  - mu N - sin(a) p + sin(a) f = 0
(%i2) eq2:N-p*cos(a)-f*sin(a)=0;
(%o2)                     N - cos(a) p - sin(a) f = 0
(%i3) eq3:mu-tan(phi)=0;
(%o3)                          mu - tan(phi) = 0
(%i4) linsolve([eq1,eq2,eq3],[f,p]);
(%o4)                                 []
(%i5) 

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