Question

find the pedal equation of rsquare =a square cos 2 theta​

Answer 1

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We have x=rcosθ,y=rsinθ

So, r²=x²+y ²

Given r²=a²cos²θ

⇒r²=a²(cos²θ−sin²θ)

⇒r² =a (x²/r² - y² /r²)

⇒(r²)²=a²(x²-y²)

⇒(x²+y²) = a²(x²-y²)

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