tan theta
The tangent function, denoted as tan(theta), is a trigonometric function that relates the angle theta to the ratio of the length of the opposite side to the length of the adjacent side in a right triangle
The tangent function, denoted as tan(theta), is a trigonometric function that relates the angle theta to the ratio of the length of the opposite side to the length of the adjacent side in a right triangle. It is defined as:
tan(theta) = opposite/adjacent
So, to find the tangent of an angle, you need to determine the lengths of the opposite and adjacent sides of a right triangle.
For example, let’s say we have a right triangle with an angle theta. If the length of the side opposite to theta is 4 units and the length of the side adjacent to theta is 3 units, we can calculate the tangent of theta as:
tan(theta) = opposite/adjacent = 4/3 = 1.33 (approximately)
So, in this case, the tangent of theta is 1.33.
It is important to note that the tangent function is periodic, repeating values every 180 degrees (or π radians). Additionally, the tangent function is undefined for angles where the adjacent side is equal to zero since division by zero is undefined.
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