(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

If x(t) = cos2t ; y(t) = t - tant

Show that:

(dy/dx)^2 = 1- x / 4(1+x)^3

3. The attempt at a solution

dy/dx = dy/dt * dt/dx = (dy/dt) / (dx/dt)

dy/dt = 1- sect^2 ; dx/dt = -2sin2t

So (dy/dx)^2 = (1 - sect^2)^2 / (4 sin2t^2)

From here i'm not too sure on how to get to the answer.

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# Homework Help: Parametric differentiation

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