Need to solve a trigonometry problem? Our free Trigonometry Calculator helps you calculate sin, cos, tan, and other trigonometric functions, solve right triangles, and find missing sides, angles, and area in general triangles. Simply enter the values you know to get your results instantly.
Enter an angle to calculate all six trigonometric functions.
Enter any two suitable known values. Missing sides, angles and area will be filled in automatically.
Enter two known values to solve the triangle.
a² + b² = c²
Area = ½ × a × b
sin α = a / c cos α = b / c tan α = a / b
Enter 2 angles to automatically find the 3rd. Enter at least one side length to solve the whole triangle.
Enter values to solve the general triangle.
α + β + γ = 180°
Law of Cosines: c² = a² + b² − 2ab cos γ
Law of Sines: a / sin α = b / sin β = c / sin γ
Area = ½ × a × b × sin γ
How to Use the Trigonometry Calculator
Choose the section that matches your problem. Enter an angle to calculate trigonometric functions, or enter known sides and angles to solve a triangle. You can also change angle and measurement units to match your question.
Example
Suppose a right triangle has an angle of 30° and a hypotenuse of 10 cm.
- Opposite side: 5 cm
- Adjacent side: 8.66 cm
- Hypotenuse: 10 cm
The calculator uses standard trigonometric formulas to find missing values.
Trigonometry Formulas
Here are some common formulas used in trigonometry:
- Sine: sin θ = Opposite / Hypotenuse
- Cosine: cos θ = Adjacent / Hypotenuse
- Tangent: tan θ = Opposite / Adjacent
- Pythagorean theorem: a² + b² = c²
- Triangle area: ½ × base × height
For general triangles, the calculator also uses the Law of Sines and the Law of Cosines.
Frequently Asked Questions
What can I calculate with this trigonometry calculator?
You can calculate six trigonometric functions, solve right and general triangles, find missing sides and angles, and calculate triangle area.
Can I use degrees and radians?
Yes. You can switch between degrees and radians for angles and select different units for side lengths and area.
What is the difference between a right triangle and a general triangle?
A right triangle has one 90° angle. A general triangle can have three different angles, provided their sum is 180°.
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