## tan(π/4)

### The tangent function, often abbreviated as tan, is a trigonometric function that relates the angle of a right triangle to the ratio of the length of its opposite side to its adjacent side

The tangent function, often abbreviated as tan, is a trigonometric function that relates the angle of a right triangle to the ratio of the length of its opposite side to its adjacent side. In other words, for a right triangle with an angle of measure θ, the tangent of θ is equal to the length of the side opposite θ divided by the length of the side adjacent to θ.

To find the value of tan(π/4), we need to substitute the angle π/4 radians into the tangent function.

The angle π/4 radians is equal to 45 degrees. In a right triangle with a 45-degree angle, the opposite side and the adjacent side are equal in length, forming a 45-45-90 triangle. In this case, the lengths of the sides are in a ratio of 1:1:√2.

Therefore, the opposite side is the same as the adjacent side, which implies that the length of the opposite side divided by the length of the adjacent side is 1/1 or simply 1.

Hence, tan(π/4) equals 1.

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