The fraction of tan 45 is 1/1, or simply 1.
Understanding Tan 45
- Tangent (tan) in trigonometry is the ratio of the opposite side to the adjacent side of a right triangle.
- 45 degrees refers to an angle within the triangle.
- A right triangle with a 45-degree angle is an isosceles right triangle, meaning the two legs (opposite and adjacent sides) are equal in length.
Tan 45 = 1
Since the opposite and adjacent sides are equal in a 45-degree right triangle, their ratio (tan 45) is always 1. This can be represented as a fraction: 1/1.