Understanding the Concept of Tangent in Trigonometry | Explained with Examples and Calculation Methods

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The term “tan x” refers to the tangent of angle x

The term “tan x” refers to the tangent of angle x. In trigonometry, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle in a right triangle.

The tangent function is commonly denoted as “tan.” Mathematically, it can be expressed as:
tan x = opposite/adjacent

To find the value of tan x, you will need the lengths of the sides of the right triangle. Once you know the lengths, you can divide the length of the side opposite the angle x by the length of the side adjacent to angle x to find the value of tan x.

For example, if you have a right triangle with the side opposite angle x measuring 4 units and the side adjacent to angle x measuring 3 units, you can calculate the tangent of angle x as follows:
tan x = 4/3 = 1.333

Therefore, the value of tan x in this example is 1.333.

It’s important to note that the tangent function can also be applied to angle measurements beyond right triangles. In such cases, trigonometric identities and the unit circle are commonly used to calculate the value of tan x.

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