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Question
If x and y are connected parametrically by the equation, without eliminating the parameter, find `dy/dx.`
x = sin t, y = cos 2t
Solution
Given, x = sin t and y = cos 2t
Differentiating both sides with respect to ,
and `dy/dt` = - sin 2 t `d/dt` (2 t) `
=- 2 sin 2 t
=- 4 sin t cos t
`dy/dx = (dy/dt)/(dx/dt)`
=`( - 4 sin t cos t)/(cos t)`
Hence,= - 4 sin t
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