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tan

f:tan(u+v);

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tan

(tan(-3*%pi/4));

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tan

f:tan(2*u-v);

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tan

tan(41)*40;

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tan-trigexpand

trigexpand(tan(2*x));

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tan

t=tan(2*%pi/3);

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tan

tan(−3pi/4);

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tan

tan(3.14/8);

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tan

tan(50) = 13/x;

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tan

tan(2*t);

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tan

Run Example
(%i1)rt:tan(atan(1/2)+atan(1/3))=1;
                                   1         1
(%o1)                     tan(atan(-) + atan(-)) = 1
                                   2         3
(%i2) trigsimp(lhs(rt));
                                     1         1
                            sin(atan(-) + atan(-))
                                     2         3
(%o2)                       ----------------------
                                     1         1
                            cos(atan(-) + atan(-))
                                     2         3
(%i3)  logarc(lhs(rt));
                    %i                %i             %i                %i
            %i (log(-- + 1) - log(1 - --))   %i (log(-- + 1) - log(1 - --))
                    2                 2              3                 3
(%o3) - tan(------------------------------ + ------------------------------)
                          2                                2
(%i4) ratsimp(%);
(%o4)             
Run Example
eq1:5*tan(x)=1;
(%o1)                            5 tan(x) = 1
(%i2) solve([eq1],[x]);

solve: using arc-trig functions to get a solution.
Some solutions will be lost.
                                           1
(%o2)                            [x = atan(-)]
                                           5
(%i3) 
Run Example
w:30*%pi/180;
                                      %pi
(%o1)                                 ---
                                       6
(%i2) a:-9.81/(2*12^2*cos(w)^2 );
(%o2)                         - 0.045416666666667
(%i3) float(%);
(%o3)             b:tan(w);
float(%);
                                       1
(%o4)                               -------
                                    sqrt(3)
(%i5) lsg:map(rhs,solve( a*x^2+b*x+2  ,x ));
(%o5)             (%i6) float( lsg[2] );

rat: replaced -0.04541666666667 by -109/2400 = -0.04541666666667
                   120 sqrt(209) - 1200  120 sqrt(209) + 1200
(%o6)           [- --------------------, --------------------]
                       109 sqrt(3)           109 sqrt(3)
(%i7) 

Related Help

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