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How do you express the Cartesian coordinates (4, 0) as polar coordinates?

1 Answer

Apr 26, 2017

$(4, 0)$ $(4,0)$

Explanation:

To convert from $cartesian to polar$ $color(blue)"cartesian to polar"$

$that is (x, y) \to (r, θ) where$ $"that is " (x,y)to(r,theta)" where"$

$∙ r = \sqrt{x^{2} + y^{2}}$ $• r=sqrt(x^2+y^2)$

$∙ θ = {tan}^{- 1} (\frac{y}{x}); - π < θ \leq π$ $• theta=tan^-1(y/x); -pi< theta <= pi$

$here x = 4 and y = 0$ $"here " x=4" and " y=0$

$\Rightarrow r = \sqrt{4^{2} + 0^{2}} = 4$ $rArrr=sqrt(4^2+0^2)=4$

$θ = {tan}^{- 1} (0) = 0$ $theta=tan^-1(0)=0$

$\Rightarrow (4, 0) \to (4, 0)$ $rArr(4,0)to(4,0)$

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