A typical geometry problem.

Geometry Level 3

For how many values of x x within the domain [ 0 , 360 ] [0, 360] , are the following set of points collinear:

( 2 , 0 ) , ( 1 , 1 3 ) , ( sin x , cos x ) ? ( -2, 0), (-1, \frac{1}{\sqrt{3}} ), ( \sin x^\circ, \cos x^\circ )?


The answer is 1.

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