tanx
The tangent function, denoted as tan(x), is a trigonometric function that relates the ratio of the opposite side to the adjacent side of a right triangle
The tangent function, denoted as tan(x), is a trigonometric function that relates the ratio of the opposite side to the adjacent side of a right triangle. It is defined as:
tan(x) = opposite/adjacent
To understand the tangent function, let’s consider a right triangle. In this triangle, there are three sides: the hypotenuse (the longest side), the opposite side (opposite to the angle x), and the adjacent side (adjacent to the angle x).
If we take the ratio of the length of the opposite side to the length of the adjacent side, we get the value of tan(x). Mathematically,
tan(x) = opposite/adjacent
So, when you see tan(x) in an equation or expression, it signifies this ratio of lengths.
However, it’s important to note that the tangent function is not defined for certain values of x where the adjacent side is zero. At those points, the tangent function is undefined or approaches positive or negative infinity.
In addition to the right triangle interpretation, the tangent function is also defined as a periodic function on the real number line. It oscillates between positive and negative values as x increases or decreases.
To evaluate the value of tan(x) for a specific angle x, you can use a scientific calculator or reference tables that provide the values of trigonometric functions.
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