1.

If x = a cos θ, y = b sin θ, find dy/dx.

Answer»

∵ x = a cos θ, y = b sin θ

∴ dx/dθ = -a sin θ = dy/dθ = b cos θ 

∴ dy/dx = b cos θ/-a sin θ = - (b/a) cot θ



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