Prediction: No, because sinsx and cossx are no longer bounded between 1 and -1. My hypothesis is, however, that instead, the sum of their squares would be equal to the nth term squared. Logically, this makes sense and goes hand in hand with how the Pythagorean identity is proven. In the unit circle, the radius is one unit, the horizontal axis represents cosx and the vertical axis represents sinx. So any right triangle formed with a unit vector as the hypotenuse would satisfy the Pythagorean identity above.
On the other hand, in spiral coordinates, the radius is the nth term, the horizontal axis is cossx and the vertical axis is sinsx.
In this case, we accept the conjecture:
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