Sin, Cos & Tan Calculator
Instantly calculate sine, cosine, and tangent ratios for any angle. Supports both degrees and radians with clear mathematical breakdowns.
Calculate Trigonometric Functions
Enter your angle and select your preferred unit to instantly reveal the exact sine, cosine, and tangent values.
Angle Input
Define your angle to compute precise trigonometric ratios.
How it Works
Understanding trigonometric calculations
Input Your Angle
Enter the angle you wish to evaluate and specify whether it is in degrees or radians.
Unit Conversion
If you entered degrees, the calculator automatically converts it to radians (Angle × π / 180) for internal JavaScript Math functions.
Compute Ratios
It calculates Sine (y-coordinate), Cosine (x-coordinate), and Tangent (y/x) based on the unit circle definition.
Smart Formatting
Microscopic floating-point errors (like sin(180°) = 1.22e-16) are intelligently rounded to exactly 0 for clean, readable results.
Common Trig Values
A quick reference guide for exact sine, cosine, and tangent values at standard unit circle angles.
| Angle (Degrees) | Angle (Radians) | Sin (θ) | Cos (θ) | Tan (θ) |
|---|---|---|---|---|
| 0° | 0 | 0 | 1 | 0 |
| 30° | π/6 | 1/2 | √3/2 | √3/3 |
| 45° | π/4 | √2/2 | √2/2 | 1 |
| 60° | π/3 | √3/2 | 1/2 | √3 |
| 90° | π/2 | 1 | 0 | Undefined |
Trigonometry FAQ
Answers to the most frequently asked questions about sine, cosine, tangent, and angle calculations.
Sine (sin), cosine (cos), and tangent (tan) are the three primary trigonometric functions. In a right-angled triangle, sin is the ratio of the opposite side to the hypotenuse, cos is the adjacent side to the hypotenuse, and tan is the opposite side to the adjacent side.
To convert degrees to radians, multiply the angle in degrees by π (pi) and divide by 180. For example, 90 degrees is equal to 90 × (π / 180) = π/2 radians.
Tangent is calculated as Sine divided by Cosine (tan = sin / cos). At 90 degrees, the cosine value is exactly 0. Since division by zero is mathematically undefined, Tan 90° is also undefined.
The unit circle is a circle with a radius of 1 centered at the origin (0,0) of a coordinate plane. It is used in trigonometry to define the sine and cosine of any angle, where the x-coordinate represents cosine and the y-coordinate represents sine.