tan theta
The tangent of a given angle theta (θ) is a trigonometric function that represents the ratio of the length of the opposite side to the length of the adjacent side in a right triangle
The tangent of a given angle theta (θ) is a trigonometric function that represents the ratio of the length of the opposite side to the length of the adjacent side in a right triangle.
The formula for calculating the tangent of an angle theta is:
tan(theta) = opposite/adjacent
In other words, tan(theta) = sin(theta)/cos(theta)
Let’s consider an example: suppose we have a right triangle with an angle theta, and the length of the opposite side is 3 units, while the length of the adjacent side is 4 units.
We can calculate the tangent of theta as follows:
tan(theta) = opposite/adjacent = 3/4
tan(theta) = 0.75
Therefore, the tangent of theta in this case is 0.75.
It is important to note that the tangent function is periodic, which means that it repeats its values every 180 degrees (or π radians). So, if you have angles beyond 180 degrees, you can use this periodicity to find the corresponding tangent value within the first 180 degrees.
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