Question

If x=acostheta and y=bsintheta,then find beta if dy/dx=(-b/a)beta

Answer 1

Answer: beta = Cotθ

Explanation:

x = a Cosθ & y = b Sinθ

For dy/dx first you have to calculate dy/dθ & dx/dθ

dy/dθ = b Cosθ & dx/dθ = - a Sinθ

So, dy/dx = (b Cosθ)/(- a Sinθ)

dy/dx = (-b/a)(Cotθ) _______''

And in question it's dy/dx = (-b/a)beta

So, on comparing we get Beta = Cotθ

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