If `x=(a+b)cos theta -b cos ((a+b)/(b))theta` and y =(a+b) sin theta -b `sin ((a+b)/(2b))theta ` then prove that

Explanation

To prove that \(\frac{dy}{dx} = \tan\left(\frac{a + 2b}{2b}\theta\right)\), we start with the given equations for \(x\) and \(y\):

\[ x = (a + b) \cos \theta - b \cos\left(\frac{a + b}{b} \theta\right) \]
\[ y = (a + b) \sin \theta - b \sin\left(\frac{a + b}{2b} \theta\right) \]
...