TrigonometrySuperchallengeThe Unit Circle and Circular Functions

The Unit Circle and Circular Functions · Superchallenge problem

Let $A = (1, 0)$ , $B = (0, 1)$ , $C = (-1, 0)$ , $D = (0, -1)$ . As $P$ moves around the unit circle, what is the largest possible value of the product $PA\cdot PB\cdot PC\cdot PD$ ?

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Let A = (1, 0), B = (0, 1), C = (-1, 0), D = (0, -1). As P… — The Unit Circle and Circular Functions · Superchallenge problem | MathCastle