The Tangemt Formula for Geometry is opposite over adjacent, or opp./adj.
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Tangent, in geometry, is used to describe when figures have only one point in common. In Trig. tangent is applied to triangles.
Trig ratios or to give them their proper name are trigonometrical rations applicable to right angle triangles and they are tangent ratio, sine ratio and cosine ratio.
current ratio = current assets / current liablities A ratio (in trig) is simply the division of two lengths. A tangent (in trig) is the ratio of the opposite and adjacent legs.
The range of the circular trig functions sin and cos is is [-1,1], but even in the case of circular functions the range of the tangent function is all real numbers. This is of course true of tangent even if we do not limit it to circular functions. So your question, I assume, is asking about all trig functions. If so the range is all real numbers.
The tangent of infinity is undefined because it is not a real number. The tangent function is defined as the ratio of the side opposite a given angle to the side adjacent to the angle in a right triangle. Since infinity is an abstract concept which has no physical representation, it is not possible to measure the sides of a triangle with an infinite length. Therefore, the tangent of infinity is undefined.