All Students Take Calculus

All Students Take Calculus

All Students Take Calculus (ASTC) is a mnemonic in mathematics that is used to help people memorize the sign values of the trigonometric functions in the 2-dimensional Cartesian coordinate system. The letters ASTC signify the order of the trigonometric functions to which of the functions are positive, starting in the top right quadrant, and moving counterclockwise.

* In Quadrant I, A for All, all trigonometric functions are positive in this quadrant.
* In Quadrant II, S for Sine, sine functions are positive in this quadrant.
* In Quadrant III, T for Tangent, tangent functions are positive in this quadrant.
* In Quadrant IV, C for Cosine, cosine functions are positive in this quadrant.

Other similar mnemonics include "All Snow Tastes Cold," "All Stations to Central", "A Smart Trig Class," "All Students Take Crack", "All Silver Tea Cups" and more simply "CAST".


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