What are the cartesian co-ordinates of r=2 ,angle=45?

1 Answer
Kalyanam S.
May 19, 2018

Cartesian coordinates are #color(crimson)((sqrt2, sqrt2)# or #color(maroon)((1.4142,1.4142)#

Explanation:

Cartesian coordinates

#x = r cos theta, y = r sin theta#

Given : #r = 2, theta = 45^@#

#x = r cos theta = 2 cos 45 = sqrt2 = 1.4142#

#y = r sin theta = 2 sin 45 = sqrt2 = 1.4142#

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