Trigonometry Calculator
Find sin, cos, tan and their reciprocals for any angle in degrees or radians, with exact values for standard angles.
About the Trigonometry Calculator
The trig functions relate an angle to the ratios of sides in a right triangle, and extend to any angle using the unit circle: cos is the x coordinate and sin the y coordinate of the point at that angle on a circle of radius 1.
The formula
sin θ = opposite/hypotenuse, cos θ = adjacent/hypotenuse, tan θ = sin θ ÷ cos θ
Exact values
| Angle | sin | cos | tan |
|---|---|---|---|
| 0° | 0 | 1 | 0 |
| 30° | 1/2 | √3/2 | √3/3 |
| 45° | √2/2 | √2/2 | 1 |
| 60° | √3/2 | 1/2 | √3 |
| 90° | 1 | 0 | undefined |
Worked example
Example: sin 33° = 0.544639035
- Inputs: Find: Values at an angle; Angle: 33; Angle in: Degrees.
- Formula: sin θ = opposite/hypotenuse, cos θ = adjacent/hypotenuse, tan θ = sin θ ÷ cos θ
- Result: sin 33° = 0.544639035
- sin: 0.544639035
- cos: 0.8386705679
- tan: 0.6494075932
Questions people ask
Why is tan 90° undefined?
tan = sin ÷ cos and cos 90° = 0, so it would mean dividing by zero.
How do I switch between degrees and radians?
Radians = degrees × π/180. 180° = π radians.