What are the components of the vector between the origin and the polar coordinate $(5, \frac{π}{8})$ $(5, (pi)/8)$ ?

Question

What are the components of the vector between the origin and the polar coordinate $(5, \frac{π}{8})$ $(5, (pi)/8)$ ?

1 Answer

Impact of this question

1741 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-12-19T17:49:26

$(4.619, 1.913)$ $(4.619, 1.913)$

Explanation:

First off, acknowledge the fact that the question is simply asking you to convert from the polar coordinate to rectangular, namely, x and y components. From here, we will be using a few givens:
$(1)$ $(1)$ Polar coordinates take the form $(r, θ)$ $(r, theta)$
$(2)$ $(2)$ $x = r cos (θ)$ $x = rcos(theta)$
$(3)$ $(3)$ $y = r sin (θ)$ $y = rsin(theta)$

Now we simply evaluate $(2)$ $(2)$ and $(3)$ $(3)$ using $r = 5$ $r = 5$ and $θ = \frac{π}{8}$ $theta = pi/8$ .

Thus, our components are $(4.619, 1.913)$ $(4.619, 1.913)$ , and we are done.

Science

Math

Humanities

... and beyond

What are the components of the vector between the origin and the polar coordinate $(5, \frac{π}{8})$ $(5, (pi)/8)$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

What are the components of the vector between the origin and the polar coordinate (5, (pi)/8)(5,π8)(5, (pi)/8)?

1 Answer

Explanation:

Related questions

Impact of this question

What are the components of the vector between the origin and the polar coordinate $(5, \frac{π}{8})$ $(5, (pi)/8)$ ?