What is the rectangular form of the parametric equations x is equal to 4 cosine t and y is equal to 5 sine t , where 0 is less than or equal to t comma t is less than or equal to 2 pi ?

From x = 4 cos t, we get cos t = x/4, and from y = 5 sin t, we get sin t = y/5. Using the identity cos² t + sin² t = 1 gives x²/16 + y²/25 = 1. This is choice A, the equation of an ellipse with denominators 16 and 25.

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