I've been in a few math courses that have not required a graphing calculator, we were required to memorize basic functions to help us solve problems more quickly, and to understand more of the intuition behind the math, and what the graph is actually telling us.
My intro to calculus class forced us to memorize the standard values for sin and cos for the quarter-values of pi for the same reason. For those quizzes, we could not use a calculator, of course. But for the rest of the class we used a calculator.
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