First solve for theta in 'x' equation:

Substitute into 'y' equation:

Simplify by rewriting cos in terms of sine.
Using pythagorean identity:


Simplify using inverse function property:

Answer:
1,632 liters of liquid remain in the pitcher.
Step-by-step explanation:
Given that a pitcher contains 2 liters of liquid, and Jin pours 368 milliliters of this liquid into a test tube, to determine how much liquid is left in the pitcher the following calculation must be performed:
368 milliliters = 0.368 liters
2 - 0.368 = X
1.632 = X
Therefore, 1,632 liters of liquid remain in the pitcher.