Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

What is the Cartesian form of #( 8 , (13pi)/6 ) #?

↳Redirected from "How do you find the derivative of #y=ln(5x)#?"

1 Answer

Leland Adriano Alejandro

Jan 19, 2016

Cartesian form of # (8, (13pi)/6)#is#=(4 sqrt3, 4)#

Explanation:

Given #r=8#
#theta=(13pi)/6#
Formulas;
#x=r*cos theta# and #y=r*sin theta#

Solve for the Cartesian coordinates:
For x:
#x=r cos theta#
#x=8*cos ((13 pi)/6)#
#x=4sqrt(3)#

For y:
#y=r sin theta#
#y=8*sin ((13 pi)/6)#
#y=8*(1/2)#
#y=4#

Final answer # (4sqrt(3), 4)#

Related questions

See all questions in Introduction to Polar Coordinates

Impact of this question

1885 views around the world

You can reuse this answer
Creative Commons License