is the tan of 0 : 0 and 180 degrees or just 0
The tangent (tan) function is a mathematical function that relates the ratio of the length of the opposite side to the length of the adjacent side of a right triangle.
For an angle of 0 degrees, the opposite side of the triangle is 0 because there is no vertical distance. The adjacent side can be any positive value because there is no horizontal distance. Therefore, the tangent of 0 degrees is defined as:
tan(0) = 0/adjacent = 0/1 = 0
So, the tangent of 0 degrees is 0.
For an angle of 180 degrees, the opposite side of the triangle is also 0 because it corresponds to the same vertical position as the initial side. The adjacent side can be any negative value because it represents a horizontal distance in the opposite direction. Therefore, the tangent of 180 degrees is defined as:
tan(180) = 0/adjacent = 0/(-1) = 0
So, the tangent of 180 degrees is also 0.
In conclusion, the tangent of both 0 degrees and 180 degrees is 0.