This works, but it is a ton of information. Usually, their attempt at summarizing the information is to draw a coordinate plane and list each trig function in the quadrant and tell if it negative or positive. However, I do eventually introduce this memory tool after a few days of working with these sorts of problems once students start trying to create their own methods of remembering where various trig functions are positive or negative. I usually spend several class periods having my students determine the signs of various trig functions without introducing them to the ASTC rule/shortcut. Foldable with Signs of Trig Functions in Each Quadrant.Looking for resources on teaching/practicing determining the signs of trig functions in various quadrants? I have created several different resources for this in the past. In school, I was taught to remember ASTC using the sentences “All students take calculus” and “All students take classes.” More Practice with Determining the Signs of Trig Functions All of the other trig functions are negative in Q4. Secant (the reciprocal of sec) is also positive in the fourth quadrant. The C stands for “Cosine” since the cosine function is positive in the fourth quadrant. All of the other trig functions are negative in Q3.Ĭ is found in Quadrant IV. Cotangent (the reciprocal of tan) is also positive in the third quadrant. The T stands for “Tangent” since the tangent function is positive in the third quadrant. All of the other trig functions are negative in Q2. Cosecant (the reciprocal of sin) is also positive in the second quadrant. The S stands for “Sine” since the sine function is positive in the second quadrant. The A stands for “All” since all of the trigonometric functions are positive in the first quadrant of the coordinate plane. The letters A, S, T, and C tell which trig function(s) is/are positive in that quadrant.Ī is found in Quadrant I.
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