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

1. Feb 23, 2012

### kgal

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

2. Feb 23, 2012

### chiro

Hey kgal and welcome to the forums.

Hint: let x = t.

3. Feb 23, 2012

### kgal

Thanks,

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

4. Feb 23, 2012

### chiro

That looks pretty good to me :)

5. Feb 24, 2012

### 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 $t\vec{i}+ f(t)\vec{j}$.