What does the acronym "Add Sugar To Coffee" help to remember about trigonometric functions?

The phrase "Add Sugar To Coffee" serves as a mnemonic device to help remember which trigonometric functions are positive in each quadrant of the Cartesian coordinate system. Each word in the phrase corresponds to a specific quadrant:

• "Add" represents that sine is positive in the first quadrant.

• "Sugar" signifies that sine remains positive, but also indicates the presence of the positive tangent in the third quadrant.

• "To" stands for the tangent being positive in the third quadrant.

• "Coffee" refers to cosine being positive in the fourth quadrant.

Thus, this memory aid effectively illustrates the signs of each of the primary trigonometric functions in the different quadrants, reinforcing the understanding of how the values of sine, cosine, and tangent change based on the quadrant in which the angle is located. This foundational knowledge is crucial for solving problems related to trigonometry, particularly those involving angles and their measurements in various applications.