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Step-by-step explanation:

For conversion to polar form from Cartesian:

x=rcosθ,y=rsinθ

x²+y²=ax

⟹r²cos²θ+r²sin²θ=ar cosθ

⟹r²=ar cosθ

⟹r=a cosθ

abidemiokin

The polar form of the equation will be expressed as [tex]rcos\phi =-1[/tex]. Option C is correct.

Polar form of a rectangular coordinate.

The rectangular coordinate of an equation is (x, y).

Resolving the x-coordinate and y-coordinate along the horizontal and vertical respectively will give:

  • [tex]x=rcos\phi\\ y=y sin \phi[/tex]

The angle is the angle between the radius and the x and y-axis. Hence the transformation of rectangular to polar coordinates will be:

[tex](x,y)\rightarrow (rcos \phi, rsin\phi)[/tex]

  • Given the equation x = -1, the polar form of the equation will be expressed as [tex]rcos\phi =-1[/tex]

Learn more on polar coordinate here: https://brainly.com/question/14965899

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