## tan π/4 (45)

### The value of `tan(π/4)` is a commonly known trigonometric value

The value of `tan(π/4)` is a commonly known trigonometric value. The tangent of π/4 (45 degrees) is equal to 1.

To understand why, let’s take a look at the unit circle. In the unit circle, the angle π/4 (45 degrees) is represented as a point on the circle where the terminal side intersects the unit circle at the coordinates (1, 1).

The tangent of an angle in a right triangle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. In this case, the side opposite the angle π/4 is 1, and the side adjacent to the angle is also 1.

Therefore, the tangent of π/4 is given by the ratio:

tan(π/4) = opposite/adjacent = 1/1 = 1.

Therefore, `tan(π/4)` is equal to 1.

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