What is the first order derivative $\frac{d y}{d x}$ $(dy)/(dx)$ of $x = a tan θ$ $x=atantheta$ and $y = a sin θ$ $y = asintheta$ ?

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Answer 1 · 2016-07-23T18:48:07

$= {cos}^{3} θ$ $= cos^3 theta$

$dy /dx == (a cos theta \ d theta)/(a sec^2 theta \ d theta)$

$= cos^3 theta$

What is the first order derivative (dy)/(dx)dydx(dy)/(dx) of x=atanthetax=atanθx=atantheta and y = asinthetay=asinθy = asintheta?