Hyperbola Proof Problem: For the hyperbola in 17, x = 4 + 5 sec t y = 3 + 2 tan t a. Transform the first equation so that sec t is expressed in terms of x, 4, and 5. Transform the second equation so that tan t is expressed in terms of y, 3, and 2. b. Square both sides of both transformed equations. Dont expand the squares on the side that involves x or y. c. Subtract the squared equations. d. Based on the Pythagorean property for secant and tangent, explain why the result of part c is equivalent to the Cartesian equation of a hyperbola.

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