What is the Cartesian form of $(7, \frac{5 π}{3})$ $( 7 , ( 5pi)/3 )$ ?

Question

What is the Cartesian form of $(7, \frac{5 π}{3})$ $( 7 , ( 5pi)/3 )$ ?

1 Answer

Impact of this question

1886 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-02-10T11:24:02

$(x, y) = (\frac{7}{2}, - \frac{7 \sqrt{3}}{2})$ $(x,y) = (7/2,-{7sqrt3}/2)$

Explanation:

$(r, θ) = (7, \frac{5 π}{3})$ $(r,theta)=(7,{5pi}/3)$

$x = r cos θ$ $x = r cos theta$

$= 7 cos (\frac{5 π}{3})$ $= 7 cos({5pi}/3)$
$= \frac{7}{2}$ $= 7/2$

y = r sin theta#

$= 7 sin (\frac{5 π}{3})$ $= 7 sin({5pi}/3)$
$= - \frac{7 \sqrt{3}}{2}$ $= -{7sqrt3}/2$

Therefore the Cartesian form is,

$(x, y) = (\frac{7}{2}, - \frac{7 \sqrt{3}}{2})$ $(x,y) = (7/2,-{7sqrt3}/2)$

Science

Math

Humanities

... and beyond

What is the Cartesian form of $(7, \frac{5 π}{3})$ $( 7 , ( 5pi)/3 )$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

What is the Cartesian form of (7,5π3)( 7 , ( 5pi)/3 ) ?

1 Answer

Explanation:

Related questions

Impact of this question

What is the Cartesian form of $(7, \frac{5 π}{3})$ $( 7 , ( 5pi)/3 )$ ?