🛠️ Sin Cos Tan Function Table 計算機

This trigonometric function table calculator produces the values of sine, cosine and tangent for a sequence of angles. You choose a starting angle, an ending angle and a step (increment), all measured in degrees, and the tool lists one row per stepped angle showing \sinθ, \cosθ and \tanθ. It also draws the sine and cosine curves over the chosen range so you can see how the two waves rise and fall. It is a pure-math tool and works identically everywhere — no country or unit assumptions beyond the degree input.

Enter the start angle (the first row), the end angle (the last angle of the range) and the increment, which is the gap between consecutive rows. For example a start of 0, an end of 360 and a step of 2 produces angles 0, 2, 4, …, 360. The increment must be greater than zero. To limit page size the table generates at most 361 rows; if your range and step would create more, it stops at 361.

For every angle a in degrees the tool first converts to radians using

because the math library expects radians. Then \sinθ = \sin(r), \cosθ = \cos(r), and \tanθ = \sin(r) / \cos(r). Tangent has no value when \cosθ = 0 — that happens at 90°, 270°, 450° and other odd multiples of 90°. Because floating-point cos of 90° is a tiny non-zero number, the tool flags any angle where |\cos| is below 1e{-12} and prints "undefined" instead of an enormous number.

With start = 0°, end = 90°, increment = 30° the table has four rows. At 0°: \sin 0, \cos 1, \tan 0. At 30°: \sin 0.5, \cos 0.866025, \tan 0.577350. At 60°: \sin 0.866025, \cos 0.5, \tan 1.732051. At 90°: \sin 1, \cos 0, tan undefined. The graph shows sine rising from 0 to 1 while cosine falls from 1 to 0.