๐ Trigonometric Calculator (Radian)
Calculate trigonometric function values based on radians in an equilateral triangle.
Radian-Based Trigonometric Functions
You can enter the angle directly in radians (rad) or in the ฯ/n form.
sin ฮธ = ๋๋ณ / ๋น๋ณ
cos ฮธ = ๋ฐ๋ณ / ๋น๋ณ
tan ฮธ = sin ฮธ / cos ฮธ
Radian and Degree Conversion
1 rad = 180/ฯ โ 57.296ยฐ
1ยฐ = ฯ/180 โ 0.017453 rad
Key Radian Values
| rad | ฯ ํํ | Deg | sin |
|---|---|---|---|
| 0 | 0 | 0ยฐ | 0 |
| 0.524 | ฯ/6 | 30ยฐ | 0.5 |
| 0.785 | ฯ/4 | 45ยฐ | โ2/2 |
| 1.047 | ฯ/3 | 60ยฐ | โ3/2 |
| 1.571 | ฯ/2 | 90ยฐ | 1 |
| 3.142 | ฯ | 180ยฐ | 0 |
Euler's Formula
e^(iฮธ) = cos ฮธ + iยทsin ฮธ
Using radians, Euler's formula holds naturally. When ฮธ=ฯ, e^(iฯ) + 1 = 0.