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Andrews [41]
3 years ago
12

Determine two pairs of polar coordinates for the point (5, 5) with 0Á _ _ < 360Á

Mathematics
1 answer:
Natasha2012 [34]3 years ago
8 0
The polar coordinates are given by  M(x, y), such tha x=rcos(teta), and y=rsin(teta), it was given M(5,5), so 5=rcos(teta) and 5=rsin(teta), the ratio gives us 5/5= cotan (teta), 1= cotan (teta), implies 1= tan(teta), so teta = Pi/4, let's find r
5=rsin(Pi/4)=r . sqrt(2)/2, so r =10/sqrt(2)=10sqrt(2)
finally the polar coordinates are (r, teta) = (10sqrt(2), Pi/4)
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