Tangent (theta) is defined as sine (theta) divided by cosine (theta). In a right triangle, it is also defined as opposite (Y) divided by adjacent (X).
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Yes, the tangent function is periodic.
No.
From the definition of tangent, it can ONLY have one point in common called the tangent point.
When you graph a tangent function, the asymptotes represent x values 90 and 270.
Because the tangent is a function of with the angle as its argument.