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Goniometrické funkce

>    restart:

>    with(plots):

Sinus

>    sin(x);

sin(x)  

>    plot(sin,-2*Pi..2*Pi);

[Maple Plot]

>    sin(x),sin(2*x),sin(3*x);

sin(x), sin(2*x), sin(3*x)  

>    plot([sin(x),sin(2*x),sin(3*x)],x=-2*Pi..2*Pi,color=[red,green,blue]);

[Maple Plot]

>    sin(x^2);

sin(x^2)

>    plot(sin(x^2),x=-2*Pi..2*Pi);

[Maple Plot]

>    sin(x)^2;

sin(x)^2  

>    plot(sin(x)^2,x=-2*Pi..2*Pi);

[Maple Plot]

>    sin(x)^3;

sin(x)^3  

>    plot(sin(x)^3,x=-2*Pi..2*Pi);

[Maple Plot]

>    3-3/4*sin(1/2*x-5/6*Pi);

3+3/4*sin(1/2*x+1/6*Pi)

>    plot([3-3/4*sin(1/2*x-5/6*Pi),3], x=-2*Pi..2*Pi);

[Maple Plot]

Kosinus

>    cos(x);

cos(x)  

>    plot(cos(x), x=-2*Pi..2*Pi);

[Maple Plot]

>    cos(x),cos(2*x),cos(3*x);

cos(x), cos(2*x), cos(3*x)

>    plot([cos(x),cos(2*x),cos(3*x)],x=-2*Pi..2*Pi,color=[red,green,blue]);

[Maple Plot]

>    cos(x^2);

cos(x^2)

>    plot(cos(x^2),x=-2*Pi..2*Pi);

[Maple Plot]

>    cos(x)^2;

cos(x)^2

>    plot(cos(x)^2,x=-2*Pi..2*Pi);

[Maple Plot]

>    cos(x)^3;

cos(x)^3

>    plot(cos(x)^3,x=-2*Pi..2*Pi);

[Maple Plot]

>    2*cos(x);

2*cos(x)

>    plot(2*cos(x),x=-2*Pi..2*Pi);

[Maple Plot]

>    1/2*cos(x);

1/2*cos(x)

>    plot(1/2*cos(x),x=-2*Pi..2*Pi);

[Maple Plot]

Tangens

>    tg(x), tan(x), sin(x)/cos(x);

tg(x), tan(x), sin(x)/cos(x)  

>    plot(tan(x), x=-2*Pi..2*Pi, y=-5..5, discont=true);

[Maple Plot]

>   

>    plot([tan(x),tan(2*x),tan(3*x)],x=-Pi..Pi,y=-5..5,color=[red,green,blue],discont=true);

[Maple Plot]

>    tan(x),tan(x)^2,tan(x)^3;

tan(x), tan(x)^2, tan(x)^3

>    plot([tan(x),tan(x)^2,tan(x)^3],x=-Pi..Pi,y=-5..5,color=[red,green,blue],discont=true);

[Maple Plot]

Kotangens

>    cotg(x), cot(x), 1/tan(x), cos(x)/sin(x);

cotg(x), cot(x), 1/tan(x), cos(x)/sin(x)  

>    plot(cot(x), x=-2*Pi..2*Pi, y=-5..5, discont=true);

[Maple Plot]

>    cot(-x);

-cot(x)  

>    plot(cot(-x), x=-2*Pi..2*Pi, y=-5..5, discont=true);

[Maple Plot]

>    cot(2*x);

cot(2*x)  

>    plot(cot(2*x),x=-Pi..Pi,y=-5..5 , discont=true);

[Maple Plot]

>    cot(3*x);

cot(3*x)  

>    plot(cot(3*x),x=-Pi..Pi,y=-5..5 , discont=true);

[Maple Plot]

>    cot(x),cot(2*x),cot(3*x);

cot(x), cot(2*x), cot(3*x)

>    plot([cot(x),cot(2*x),cot(3*x)],x=-Pi..Pi,y=-5..5,color=[red,green,blue],discont=true);

[Maple Plot]

>    cot(x),cot(x)^2,cot(x)^3;

cot(x), cot(x)^2, cot(x)^3

>    plot([cot(x),cot(x)^2,cot(x)^3],x=-Pi..Pi,y=-5..5,color=[red,green,blue],discont=true);

[Maple Plot]

>    5-Pi/2*cot(2*x+Pi/5);

5-1/2*Pi*cot(2*x+1/5*Pi)  

>    plot([5-Pi/2*cot(2*x+Pi/5),5],x=-Pi..Pi,y=-20..20,discont=true);

[Maple Plot]

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