Trigonometry Calculator

A trigonometry calculator is a tool that computes trigonometric functions (sin, cos, tan and their inverses), converts between degrees and radians, and solves triangles. It is useful for students, engineers, architects, and anyone working with angles and geometric shapes.

Degrees and radians are two ways to measure angles. A full circle equals 360 degrees or 2π radians. To convert degrees to radians, multiply by π/180. To convert radians to degrees, multiply by 180/π. Radians are preferred in higher mathematics and physics; degrees are used in everyday contexts.

Enter the angle value, choose degrees or radians, and the calculator instantly shows sin, cos, tan, csc, sec, and cot. In a right triangle, sin = opposite/hypotenuse, cos = adjacent/hypotenuse, and tan = opposite/adjacent.

Inverse trig functions return the angle whose trig value is given. For example, arcsin(0.5) = 30° because sin(30°) = 0.5. They are used to find angles when you know the ratio of sides.

Enter any two known values of a right triangle (sides or an acute angle) and the calculator computes all remaining sides and angles using the Pythagorean theorem and basic trig ratios.

The Law of Sines states: a/sin(A) = b/sin(B) = c/sin(C). It solves oblique triangles when you know two angles and one side or two sides and a non-included angle.

The Law of Cosines: c² = a² + b² − 2ab·cos(C). It solves oblique triangles when you know three sides or two sides and the included angle.

These are reciprocal trig functions. Cosecant (csc) = 1/sin, Secant (sec) = 1/cos, and Cotangent (cot) = 1/tan. They appear in various identities and calculus expressions.

tan(90°) is mathematically undefined because cos(90°) = 0, and tan = sin/cos, which involves division by zero.

Yes. Trigonometry is fundamental in physics for resolving vectors, analyzing projectile motion, calculating wave properties, and more.

Key identities include: Pythagorean (sin²θ + cos²θ = 1), double angle (sin 2θ = 2 sin θ cos θ), and sum-to-product formulas used to simplify expressions and solve equations.

For SSS: compute each angle using cos(A) = (b² + c² − a²) / (2bc). For SAS: compute the opposite side first, then use Law of Sines for remaining angles.