Question

find the cartesian coordinates of the point whose polar coordinates are (4,π/2)
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Answer 1

Step-by-step explanation:

Here, (r,α)=(4,π/2)

Now, let the cartesian coordinates be (x,y)

so,

$x = r \cos( \alpha ) \: \: and \: \: y = r \sin( \alpha )$

$= > x = 4. \cos( \frac{\pi}{2} ) \: \: and \: \: y = 4. \sin( \frac{\pi}{2} )$

$= > x = 0 \: \: and \: \: y = 4$

Hence, the cartesian coordinates are (0,4)