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Tangent, written as tan(θ), is one of the six fundamental trigonometric functions. The right-angled triangle definition of trigonometric functions is most often how they are introduced, followed by their definitions in terms of the unit circle.
Example: Find the sin, cos, and tan of the triangle for the given angle θ. Solution: In the triangle, the longest side (or) the side opposite to the right angle is the hypotenuse. The side opposite to θ is the opposite side or perpendicular. The side adjacent to θ is the adjacent side or base.
Sine, Cosine and Tangent. The main functions in trigonometry are Sine, Cosine and Tangent. They are simply one side of a right-angled triangle divided by another. For any angle "θ": (Sine, Cosine and Tangent are often abbreviated to sin, cos and tan.)
Mathematically, tan function is written as f (x) = tan x. Further in this article, we will explore the tangent function graph, its domain and range, the trigonometric identities of tan x, and the formula of the tangent function. We will also solve some examples related to the tan function for a better understanding of the concept.
What is tangent? In the context of a triangle, the tangent function is the ratio of the opposite side to the adjacent side. For an angle $\alpha$, the tangent function is denoted by $\tan \alpha$. In other words, the tangent is a trigonometric function of any given angle. The following figure 5-1 represents a typical right triangle.
17 sty 2024 · Tan in trigonometry is the ratio of the length of the opposite side to the length of the adjacent side in a right triangle. We see it come into play when we deal with trigonometric functions, which are fundamental in relating the angles of a triangle to the dimensions of its sides.
In a formula, it is written simply as ‘tan’. \ [\large tan\;\theta=\frac {O} {A}\] Example: Calculate the tangent angle of a right triangle whose adjacent side and opposite side are 8 cm and 6 cm respectively? Solution: Using the formula of tangent: \ (\begin {array} {l}tan\;\theta=\frac {O} {A}\end {array} \)
