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Question

A pair of parametric equations is given. x = sec(t), y = tan^2(t), 0 ≤ t < pi/2 Find a rectangular-coordinate equation for the curve by eliminating the parameter

Answer

Please observe that y squared plus one is equal to x squared. Explanation: Kindly note that the equation holds true due to the identity of tangent squared plus one equals to secant squared. Therefore, this implies that the hyperbola equation is y squared plus one equals to x squared.