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The Maxima on-line user's manual

Algebra Calculator

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Tan

Function: tan (<x>) - Tangent.

f(x):=taylor( x/tan(x) ,x , 0, 20);
g(x):=integrate(f(t),t,0,x);
h(x):=(%pi/2)*(1+x)-(0.1)*( (%pi/2)*(1+x)*log(cos(%pi*x/2))-g(%pi*(1+x)/2)+(1+x)*g(%pi/2));
e(x):= (1/2)*( h(x)-h(-x)+2*h(0) );
 plot2d ([acos(-x),acos(-x)-(0.2)*(2*x*(log(2))+(1-x)*(log(1-x))-(1+x)*(log(1+x)))/(2*sqrt(1-x^2)),acos(-x)-(0.4)*(2*x*(log(2))+(1-x)*(log(1-x))-(1+x)*(log(1+x)))/(2*sqrt(1-x^2)),acos(-x)-(0.6)*(2*x*(log(2))+(1-x)*(log(1-x))-(1+x)*(log(1+x)))/(2*sqrt(1-x^2)) , (%pi/2)*(1+x)], [x, -0.999, 0.999], [y,0,%pi]);

There are also some inexact matches for tan. Try ?? tan to see them.

(%o1)                                true
(%i2) 

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