Question

find the Cartesian coordinates of the points whose polar coordinates are (√2 , π/4)​

Answer 1

here r=2andθ=π4 x=2⋅cos(π 4)=2⋅1√2=√2 y=2⋅sin(π4)=2⋅1√2=√2. So Cartesian coordinate= (√2,√2).

Answer 2

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If Cartesian or rectangular coordinate of a point be (x,y)and its polar polar coordinate be

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(1,1)