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What are the components of the vector between the origin and the polar coordinate #(9, (5pi)/8)#?

1 Answer

sankarankalyanam

Feb 27, 2018

Rectangular coordinates are #color(brown)(x = 2.3294, y = 8.6933)#

Explanation:

#r = 9, theta = (5pi)/12#

To find the rectangular coordinates.

enter image source here

From the above image, we know #x = r cos theta, y = r sin theta #

Therefore, #x = 9 * cos ((5pi)/12) = 2.3294#

#y = 9* sin ((5pi)/12) = 8.6933#

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