Parametrize y = sin(x) with i^ j^ components

[kgal]

I am having a hard time understanding how to parametrize the function y = sin(x) into component form (i,j).

 

[chiro]

I am having a hard time understanding how to parametrize the function y = sin(x) into component form (i,j).

Hey kgal and welcome to the forums.

Hint: let x = t.

 

[kgal]

Thanks,

is it r(t) = ti^ +sin(t)j^ ?

 

[chiro]

Thanks,

is it r(t) = ti^ +sin(t)j^ ?

That looks pretty good to me :)

 

[HallsofIvy]

As long as y is a function of t, y= f(t), there is the "trivial" parameterization, x= t, y= f(t) or, in vector terms $t\vec{i}+ f(t)\vec{j}$.