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Related

tan

eq1[y]:5*tan(y);

y=2;

solve[eq1,y];

Calculate

tan-trigsimp

trigsimp(tan(x));

tan(x), trigsimp;

Calculate

tan-taylor

taylor (tan(x), x, 0,...

Calculate

tan

tan(0.5235);

Calculate

tan-taylor

taylor(tan(x),x,0, 3);

Calculate

tan

ctan(0);

Calculate

tan

5*tan(25);

Calculate

tan

f:tan(u+v);

Calculate

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
define(t(theta), 6/4 - 3/(4*tan(theta)) + 3/(2*sin(theta)));
                                    3              3         3
(%o1)            t(theta) := - ------------ + ------------ + -
                               4 tan(theta)   2 sin(theta)   2
(%i2) define(tp(theta), diff(t(theta), theta));
                                    2
                               3 sec (theta)   3 cos(theta)
(%o2)             tp(theta) := ------------- - -------------
                                    2               2
                               4 tan (theta)   2 sin (theta)
(%i3) plot2d(tp(theta),[theta, 0, %pi/2],[y, -2, 2]);
plotplot2d(tp(theta),[theta, 0, %pi/2],[y, -2, 2]);cv: find_root(tp(theta)=0, theta, 0.8, 1.2);
(%o4)                          1.047197551196598
(%i5) define(tpp(theta), diff(t(theta), theta, 2));
                         2               4
                    3 sec (theta)   3 sec (theta)        3
(%o5) tpp(theta) := ------------- - ------------- + ------------
                    2 tan(theta)         3          2 sin(theta)
                                    2 tan (theta)
                                                                       2
                                                                  3 cos (theta)
                                                                + -------------
                                                                      3
                                                                   sin (theta)
(%i6) tpp(cv);
(%o6)                          1.732050807568879
(%i7) tp(0.0000001);
(%o7)                      - 7.4999999999999469E+13
(%i8) tp(%pi/2 - 0.000001);
(%o8)                          0.74999850000075
(%i9) t(cv);
(%o9)                          2.799038105676658
(%i10) plot2d(t(theta),[theta, 0, %pi/2]);
plotplot2d(t(theta),[theta, 0, %pi/2]);

Related Help

Help for Tan