Why does the value of the tangent ratio of a given angle not depend on the right triangle?

Why does the value of the tangent ratio of a given angle not depend on the right triangle?
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Answer :

The tangent ratio is defined in several different ways. One of these consists of infinite series: the series for the tangent function contains some coefficients which are difficult to calculate. However, the tangent series van be easily calculated from the sine and cosine ratios.sin(x) = x - x3/3! + x5/5! - x7/7! + ...andcos(x) = 1 - x2/2! + x4/4! - x6/6! + ...where x is the angle defined in radians, and n! represents 1*2*3*...*n.So tan(x) = sin(x)/cos(x).None of these require a right angle.
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