If \( x = 2\sqrt{2}\sqrt{\cos 2\theta} \) and \( y = 2\sqrt{2}\sqrt{\sin 2\theta} \), \( 0<\theta<\frac{\pi}{4} \) then the value of \( \frac{dy}{dx} \) at \( \theta = 22\frac{1}{2}^\circ \) is
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For parametric equations, sometimes it's easier to find a direct relationship between x and y and then use implicit differentiation. Squaring or using trigonometric identities can often reveal a simple Cartesian equation.