A curve has parametric equations(adsbygoogle = window.adsbygoogle || []).push({});

x = 2 cot t, y = 2sin² t , 0 < t ≤ pi/2

(a) find an expression for dy/dx in terms of the parameter t

(b) Find an equation of the tangent to the curve at the point where t = pi/4

(c) Find a cartesian equation of the curve in the form y = f(x). State the domain on which the curve is defined.

I've done part a),

I've done part b),

I've partway done part c), I have found the equation (y = 8/(4+x^2)), however I don't know how to find the domain on which the curve is defined, any help?

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# Homework Help: Simple parametric equations

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