How do you convert $(6, \frac{π}{4})$ $(6, pi/4)$ to rectangular form?

Question

How do you convert $(6, \frac{π}{4})$ $(6, pi/4)$ to rectangular form?

1 Answer

Impact of this question

4093 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-19T03:49:24

The rectangular coordinates of $(6, \frac{π}{4})$ $(6,pi/4)$ is $3 (\sqrt{2}, \sqrt{2})$ $3(sqrt(2),sqrt(2))$

Explanation:

Given the polar coordinates $(r, θ) = (6, \frac{π}{4})$ $(r,theta)=(6,pi/4)$
Find the rectangular coordinates $(x, y)$ $(x,y)$
$x = r cos θ; y = sin θ$ $x=rcostheta; y=sintheta$ where $r = 6$ $r=6$ and $θ = \frac{π}{4}$ $theta = pi/4$
$x = 6 cos (\frac{π}{4}) = 3 \sqrt{2}; y = 6 sin (\frac{π}{4}) = 3 \sqrt{2}$ $x=6cos(pi/4)=3sqrt(2); y=6sin(pi/4)=3sqrt(2)$
Hence $(x, y) = (\sqrt{2}, \sqrt{2})$ $(x,y) = (sqrt(2),sqrt(2))$

Science

Math

Humanities

... and beyond

How do you convert $(6, \frac{π}{4})$ $(6, pi/4)$ to rectangular form?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you convert (6, pi/4)(6,π4)(6, pi/4) to rectangular form?

1 Answer

Explanation:

Related questions

Impact of this question

How do you convert $(6, \frac{π}{4})$ $(6, pi/4)$ to rectangular form?