Understanding cos(pi/6): Evaluating using the unit circle and special triangles

cosx pi/6

To evaluate cos(pi/6), we can use the unit circle or the special triangles for reference

To evaluate cos(pi/6), we can use the unit circle or the special triangles for reference.

Looking at the unit circle, we know that cos(x) represents the x-coordinate of the point (cos(x), sin(x)) on the unit circle. Therefore, to find cos(pi/6), we need to find the x-coordinate of the point corresponding to pi/6 radians.

In the unit circle, pi/6 radians corresponds to an angle of 30 degrees. It is also an angle that is part of the special triangle with side ratios 1:sqrt(3):2.

Since the x-coordinate represents the adjacent side, which has a length of 1 in this case, the x-coordinate for cos(pi/6) is 1.

So, cos(pi/6) = 1.

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