Trigonometry Calculator
Calculate trigonometric functions and solve right triangles with ease
Choose Calculator Mode
Trigonometric Functions Calculator
Function Values
Common Angles
SOHCAHTOA Reference
SOH - Sine
sin(θ) = Opposite / Hypotenuse
CAH - Cosine
cos(θ) = Adjacent / Hypotenuse
TOA - Tangent
tan(θ) = Opposite / Adjacent
Trigonometry Facts
In any right triangle, α + β = 90°
Pythagorean theorem: a² + b² = c²
Area = (1/2) × base × height
sin²(θ) + cos²(θ) = 1
tan(θ) = sin(θ) / cos(θ)
Special Angles
Understanding Trigonometry
What is Trigonometry?
Trigonometry is the branch of mathematics that deals with the relationships between angles and sides in triangles. The word comes from Greek: "trigonon" (triangle) and "metron" (measure).
How to Use This Calculator
- •Functions Mode: Calculate trigonometric function values for any angle
- •Triangle Mode: Solve right triangles with known parameters
Applications
Engineering & Construction
Calculate angles, distances, and heights in structures and machinery
Navigation & GPS
Determine positions, bearings, and distances for navigation systems
Physics & Astronomy
Analyze waves, oscillations, and celestial object positions
Step-by-Step Triangle Solving
1. Identify Known Values
Determine what sides and angles you know. You need at least 2 values to solve a right triangle.
2. Choose the Right Formula
Use SOHCAHTOA to select the appropriate trigonometric ratio for your known and unknown values.
3. Solve and Verify
Calculate the unknown values and verify using the Pythagorean theorem: a² + b² = c².