Trigonometry Calculator

  • Right Triangle Angles from Two Legs Calculator
    Find both acute angles of a right triangle from its two legs. Enter legs a and b to get angle A = atan(a/b), angle B = 90 - A, and the hypotenuse.
  • Shadow Length & Sun Angle Calculator
    Calculate shadow length from the sun's elevation angle, or find the sun angle from an object's height and shadow length using simple trigonometry.
  • Sine of an Angle Calculator
    Calculate the sine of an angle in a right triangle from the opposite side and hypotenuse, then find the angle θ in degrees and radians using arcsine.
  • Law of Cosines Angle Calculator
    Find the angle of a triangle from its three side lengths using the law of cosines. Enter sides a, b, and c to get angle C in degrees and radians.
  • Degrees to Radians Calculator
    Convert degrees to radians instantly. Enter any angle in degrees and get the exact radian value plus its multiple of π using radians = degrees × π / 180.
  • Sin Cos Tan Calculator
    Calculate sine, cosine and tangent of any angle in degrees or radians. Instant sin θ, cos θ, tan θ values plus the angle converted to radians.
  • Missing Angle from Law of Sines Calculator
    Find a triangle's unknown angle using the Law of Sines: A = arcsin(a·sin B / b). Enter two sides and one opposite angle to solve instantly.
  • Missing Side from Law of Sines Calculator
    Find an unknown triangle side using the Law of Sines: enter a known side, its opposite angle, and the angle opposite the missing side.
  • Arctangent (Arctan) Calculator
    Find the angle θ from the opposite and adjacent sides using θ = arctan(opposite/adjacent). Get the result in both degrees and radians instantly.
  • Degrees-Minutes-Seconds to Decimal Degrees Calculator
    Convert latitude/longitude in degrees, minutes and seconds (DMS) to decimal degrees instantly using decimal = D + M/60 + S/3600.
  • Regular Polygon Area Calculator
    Calculate the area of any regular polygon from its number of sides and side length. Also returns apothem, perimeter, and interior angle instantly.
  • Roof Pitch Angle Calculator
    Convert roof rise and run into pitch angle in degrees, slope percent, rise:12 pitch, and rafter multiplier. Free, instant roof slope calculator.
  • Linear to Angular Velocity Calculator
    Convert linear velocity to angular velocity using ω = v/r. Enter speed and radius to get rad/s and RPM instantly. Free physics calculator.
  • Trigonometric Equation Solver
    Solve sin θ = k, cos θ = k or tan θ = k. Get the principal value and the general solution θ = nπ + (−1)ⁿ·asin(k) for any integer n.
  • Amplitude, Period, Phase Shift & Midline Calculator
    Find amplitude, period, phase shift and midline of any sine or cosine function y=A·sin(Bx−C)+D instantly. Free trig graph analysis tool.
  • Pythagorean Identity Calculator
    Verify sin²θ + cos²θ = 1 and find cos θ from sin θ using cos θ = ±√(1−sin²θ). Pick the quadrant to choose the correct sign.
  • Sine, Cosine & Tangent of an Angle Calculator
    Calculate sin(θ), cos(θ) and tan(θ) for any angle in degrees or radians. Instant trigonometric function values with a clear worked example.
  • Vector Cross Product Calculator
    Compute the cross product a × b of two 3D vectors: get the result vector components, its magnitude |a×b|, and the angle θ between the vectors.
  • Law of Cosines Calculator (Side c)
    Find the third side c of any triangle using the Law of Cosines: c = √(a² + b² − 2ab·cos C). Enter two sides and the included angle in degrees.
  • Shadow Length Calculator
    Calculate the shadow length cast by any object from its height and the sun's elevation angle. Free, instant shadow length calculator using trigonometry.
  • Arcsine Calculator
    Find an angle from the opposite side and hypotenuse using arcsine. Enter both sides to get the angle in degrees and radians instantly.
  • Arccosine Angle Calculator
    Find the angle of a right triangle from its adjacent side and hypotenuse using θ = arccos(adjacent / hypotenuse). Results in degrees and radians.
  • Hypotenuse Calculator from Two Legs
    Find the hypotenuse of a right triangle from its two legs using the Pythagorean theorem c = √(a² + b²). Also shows area and perimeter.
  • Angle Between Two Lines Calculator
    Find the acute angle between two straight lines from their slopes m₁ and m₂ using θ = arctan(|(m₁−m₂)/(1+m₁m₂)|). Get the result in degrees and radians.

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