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kgal
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I am having a hard time understanding how to parametrize the function y = sin(x) into component form (i,j).
kgal said:I am having a hard time understanding how to parametrize the function y = sin(x) into component form (i,j).
kgal said:Thanks,
is it r(t) = ti^ +sin(t)j^ ?
To parametrize y = sin(x) with i^ j^ components, you can use the following equation:
x = t
y = sin(t)
i^ component = cos(t)
j^ component = sin(t)
where t is the variable parameter.
The purpose of parametrizing y = sin(x) with i^ j^ components is to express the relationship between x and y in terms of a single parameter, t. This allows for easier manipulation and analysis of the function.
One example of parametrizing y = sin(x) with i^ j^ components is:
x = t
y = sin(t)
i^ component = cos(t)
j^ component = sin(t)
where t is the variable parameter.
Yes, it is possible to parametrize any function with i^ j^ components. However, the specific equations used to parametrize the function may vary depending on the complexity of the function.
Using i^ j^ components in parametrization can help simplify and generalize the representation of a function. It can also make calculations and analysis easier and more efficient.