The value of $( an 1° an 2° \ldots an 89°)$ is equal to ________.

Question

The value of $(	an 1° 	an 2° \ldots 	an 89°)$ is equal to ________.

Accepted Answer

Step 1: $	an 1° 	imes 	an 89° = 	an 1° 	imes \cot 1° = 1$, similarly all pairs multiply to 1, and $	an 45° = 1$. Product $= 1$

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