tan 45°
In trigonometry, the tangent function (denoted as tan) measures the ratio between the length of the opposite side and the length of the adjacent side of a right triangle
In trigonometry, the tangent function (denoted as tan) measures the ratio between the length of the opposite side and the length of the adjacent side of a right triangle. Specifically, for any angle θ, the tangent of θ is given by:
tan(θ) = opposite/adjacent
In the case of tan 45°, we consider a right triangle with an angle of 45 degrees. This angle is special because it is the angle formed when the opposite and adjacent sides of a right triangle are equal in length.
Therefore, if we let the length of the opposite side and the adjacent side be x, then we have:
tan 45° = x/x
Since the lengths are equal, we can simplify this to:
tan 45° = 1
So, the value of tan 45° is 1.
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