### Related

tan(x)=1/2;

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f(delta_winkel);

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##### tan

466.00^2 / (32.1725 *...

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2+2;

1+1;

tan(Pi/2 -x);

Calculate

2+2;

1+1;

tan(%pi/2 -x);

Calculate

tan(0.1);

Calculate

##### tan

tan(13.9*%pi/180);

Calculate

Calculate

tan(%(−3*pi/4));

Calculate

##### tan-taylor

f(x):=taylor( x/tan(x...

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]);
plotcv: 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]);
plot```

Help for Tan