which set of rectangular coordinates describes the same location as the polar coordinates 3sqrt2 5pi/4
1 answer:
Hello :
note :
<span>rectangular coordinates (x,y)
</span>the polar coordinates (r cosθ , r sin<span>θ )
</span>r= 3√2 and θ = 5<span>π<span>/4
</span></span>x = r cosθ = 3√2 cos (5π/4) = 3√2 cos(π + π/4)= 3√2 (-cos(π/4))
x =(3√2)(-√2/2)= - 3
y = r sinθ = 3√2 sin (5π/4) = 3√2 sin(π + π/4)= 3√2 (-sin(π/4)) = -3
the rectangular coordinates ( -3 , -3 )
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