Free Trigonometry Calculators

Sine, cosine, tangent, distance, angle, and vector calculators. Browse our free trigonometry tools below — all calculators are instant, accurate, and require no sign-up.

• 2D Distance Calculator — Calculate the distance between two points in 2D space using Euclidean, Manhattan, or Chebyshev metrics. Also computes midpoint, slope, and component breakdown.
• 3D Distance Calculator — Calculate the Euclidean distance between two points in 3D space, plus midpoint, direction cosines, direction angles, and 2D projection comparisons.
• Arccos Calculator (Inverse Cosine) — Calculate the inverse cosine (arccos) of any value from −1 to 1. Returns the angle in degrees and radians, plus related trig values, quadrant, and unit circle position.
• Arcsin Calculator (Inverse Sine) — Calculate the inverse sine (arcsin) of any value from −1 to 1. Returns the angle in degrees and radians, plus cosine, tangent, quadrant, reference angle, and unit circle position.
• Arcus Tangent (atan2) Calculator — Full Quadrant Arctangent — Calculate atan2(y, x) with full quadrant awareness. Enter y and x coordinates to find the angle in degrees and radians, quadrant, reference angle, magnitude, and normalized direction vector.
• Arctan Calculator (Inverse Tangent) — Calculate the inverse tangent (arctan) of any value. Supports both atan(x) and atan2(y,x) modes for full 360° angle resolution. Returns degrees, radians, quadrant, and related trig values.
• Complementary & Supplementary Angles Calculator — Find the complement (90° − θ) and supplement (180° − θ) of any angle. See cofunction identities, trig values of both angles, and the explement. Includes angle pair tables and visual bars.
• Complex Number to Rectangular Form Calculator (Polar → a + bi) — Convert a complex number from polar/trigonometric form r(cos θ + i sin θ) to rectangular form a + bi. Shows real part, imaginary part, Euler form, conjugate, and quadrant.
• Conic Sections Calculator — Circle, Ellipse, Parabola, Hyperbola — Identify and analyze conic sections from the general equation Ax² + Bxy + Cy² + Dx + Ey + F = 0. Find the type, center, foci, vertices, eccentricity, and standard form for circles, ellipses, parabo...
• Complex Number to Trigonometric Form Calculator (a + bi → Polar) — Convert a complex number from rectangular form a + bi to trigonometric (polar) form r(cos θ + i sin θ). Shows modulus, argument, exponential form, quadrant, reciprocal, and De Moivre powers.
• Consecutive Integers Calculator — Find consecutive integers that sum to a target value, generate integer sequences, and explore even and odd consecutive integers with formulas and visualizations.
• Coordinate Distance Calculator — Calculate the distance between two points in a coordinate plane using Euclidean, Manhattan, Chebyshev, and Minkowski metrics with midpoint, slope, and angle analysis.
• Inverse Cosine (arccos) Calculator — Calculate the inverse cosine (arccos) of any value from −1 to 1. Get the principal value in degrees and radians, general solutions, related trig values, and a reference table.
• Cosine (cos) Calculator — Calculate the cosine of any angle in degrees or radians. View all six trig functions, quadrant, reference angle, and a complete common cosine values table.
• Cos Inverse Calculator (arccos / cos⁻¹) — Calculate the inverse cosine (cos⁻¹) of any value from −1 to 1. Returns the angle in degrees, radians, and gradians with unit circle visual.
• Cos(2θ) Double Angle Calculator — Calculate cos(2θ) using all three double-angle formulas: 1−2sin²θ, 2cos²θ−1, and cos²θ−sin²θ. Verify equality, explore special angles, and visualize form comparisons.
• Cosine Similarity Calculator — Vectors & Angles — Calculate cosine similarity between two vectors in 2D–5D. Shows dot product, magnitudes, angle, similarity gauge, and component breakdown table.
• Cosh Calculator (Hyperbolic Cosine) — Calculate the hyperbolic cosine cosh(x) and all six hyperbolic functions. Includes identity verification, comparison table, and custom range generator.
• Cotangent Calculator (cot θ) — Calculate the cotangent of any angle in degrees or radians. Shows all 6 trig functions, quadrant visual, common values table, and identity reference.
• Coterminal Angle Calculator — Find coterminal angles by adding or subtracting 360° (2π). Shows reference angle, quadrant, trig values, and generates a table of N coterminal angles.
• Cosecant Calculator (csc θ) — Calculate the cosecant of any angle in degrees, radians, or gradians. Shows all 6 trig functions, quadrant sign chart, common values table, and reference identities.
• Distance Calculator — Euclidean, Manhattan, Chebyshev & Minkowski — Calculate distances between two points using Euclidean, Manhattan, Chebyshev, and Minkowski metrics in 2D or 3D with step-by-step breakdown and visual comparison.
• Distance Between Two Points Calculator — Calculate the distance between two points in 2D or 3D space. Shows midpoint, slope, line equation, displacement vector, and step-by-step solution with coordinate visualization.
• Distance from Point to Plane Calculator — Calculate the perpendicular distance from a point to a plane in 3D space. Shows signed distance, normal vector, foot of perpendicular, formula breakdown, and verification.
• Double Angle Calculator — sin(2θ), cos(2θ), tan(2θ) — Calculate double angle formulas for sin(2θ), cos(2θ), and tan(2θ). Shows all three cos(2θ) forms, verification table, original vs double angle comparison, and identity reference.
• Double Angle Formula Calculator — Explore sin(2θ), cos(2θ) in three forms, and tan(2θ) with step-by-step proofs, power-reducing derivations, and a comparison table.
• Double-Angle Identity Verifier Calculator — Verify all double-angle identities for any angle. Compare LHS vs RHS, check error margins, and explore power-reducing and half-angle connections.
• Euclidean Distance Calculator (N-Dimensional) — Calculate Euclidean distance in 2D to 10D with step-by-step breakdown, component analysis, and comparison with Manhattan and Chebyshev distances.
• Half-Angle Formula Calculator — Calculate sin(θ/2), cos(θ/2), and tan(θ/2) with automatic sign by quadrant, three tan forms, and double-angle back-verification.
• Hypotenuse Calculator — Right Triangle Solver — Calculate the hypotenuse or missing leg of a right triangle, plus area, angles, altitude, inradius, and special triangle detection.
• Intersection of Two Lines Calculator — Find Where Lines Cross — Find the intersection point of two lines in slope-intercept, point-slope, or general form. Shows angle between lines, parallel/perpendicular detection, and coordinate visualization.
• Inverse Sine (arcsin) Calculator — Degrees, Radians & Unit Circle — Calculate the inverse sine (arcsin) of any value. Get results in degrees, radians, gradians, and turns with domain checking, unit circle visualization, and all 6 inverse trig comparisons.
• Inverse Cosine (arccos) Calculator — Degrees, Radians & More — Calculate the inverse cosine (arccos) of any value. Get results in degrees, radians, gradians, and turns with domain checking, related trig values, and a common values reference table.
• Inverse Trigonometric Functions Calculator — All 6 at Once — Calculate all six inverse trig functions simultaneously: arcsin, arccos, arctan, arccsc, arcsec, arccot. Enter a value and see every result with domain checking, identities, and visual comparison.
• Inverse Tangent (arctan) Calculator — arctan & atan2 Modes — Calculate arctan(x) or atan2(y,x) with full quadrant support. Get results in degrees, radians, gradians, and turns with quadrant identification, common values table, and atan-vs-atan2 comparison.
• Law of Sines Calculator — Triangle Solver with Ambiguous Case — Solve triangles using the law of sines. Handles AAS, ASA, and SSA configurations including the ambiguous case with 0, 1, or 2 solutions.
• Law of Cosines Calculator — Solve Any Triangle — Solve any triangle using the law of cosines. Find unknown sides or angles, compute area, perimeter, circumradius, inradius, and classify the triangle type.
• Line of Intersection of Two Planes Calculator — Find the line where two planes intersect in 3D space. Computes direction vector, parametric equations, a point on the line, and the angle between the planes.
• Manhattan Distance Calculator — Taxicab & L1 Distance — Calculate Manhattan (taxicab/L1) distance in 2D, 3D, or N dimensions. Compare with Euclidean and Chebyshev distances with component breakdown and grid visualization.
• Polar to Rectangular Coordinates Converter — Convert between polar (r, θ) and rectangular (x, y) coordinates. Bidirectional conversion with quadrant visualization, unit circle reference, and batch table.
• Phase Shift Calculator — Amplitude, Period, Vertical Shift & Graph — Calculate phase shift, amplitude, period, and vertical shift for y = A·sin(Bx + C) + D. Visualize the function with an interactive SVG graph and key-point tables.
• Pythagorean Theorem Calculator — Right Triangle Solver — Solve right triangles with the Pythagorean theorem. Find any side, angles, area, perimeter, altitude, inradius, circumradius, and detect special triples.
• Pythagorean Triples Generator & Checker — Generate Pythagorean triples up to any limit, find triples containing a given number, and check whether three numbers form a valid Pythagorean triple.
• Reference Angle Calculator — Find the Reference Angle — Find the reference angle for any angle in degrees or radians. Shows coterminal angle, quadrant, trig values, ASTC sign chart, and unit circle visualization.
• Rectangular to Polar Coordinates Calculator — Convert rectangular (x, y) to polar (r, θ) coordinates in degrees, radians, or gradians. Quadrant detection, batch mode, visual plot, and reference table.
• Sine Calculator (sin θ) — Calculate the sine of any angle in degrees, radians, or gradians. Shows all 6 trig functions, quadrant analysis, exact values, sine wave visual, and reference table.
• Secant Calculator — sec(θ) with Full Trig Breakdown — Calculate sec(θ) = 1/cos(θ) in degrees, radians, or gradians. All 6 trig functions, identity verification, asymptote warnings, sign chart, and common values.
• sin(2θ) Double Angle Calculator — Calculate sin(2θ) using the double-angle formula 2·sin(θ)·cos(θ). Step-by-step solution, identity verification, projectile range, and triangle area applications.
• Inverse Sine Calculator (arcsin / sin⁻¹) — Calculate arcsin (sin⁻¹) of any value from −1 to 1. Shows result in degrees, radians, gradians, general solution, domain check, and common values reference.
• Sin Cos Tan Calculator — All 6 Trig Functions — Calculate sin, cos, tan, csc, sec, and cot of any angle. Shows quadrant analysis, ASTC rule, Pythagorean identity check, full 0°–360° reference table, and exact values.
• Sin in Degrees Calculator — Calculate the sine of any angle in degrees. Shows radians equivalent, all 6 trig functions, sine curve visual, common values table, and custom range generator.
• Sin Theta Calculator — sin(θ) Exact & Decimal Values — Calculate sin(θ) for any angle with exact values, Taylor series approximation, all 6 trig functions, quadrant visual, and standard angle reference table.
• Singular Value Decomposition (SVD) Calculator — Compute singular values of 2×2 and 3×3 matrices. Shows σ₁, σ₂, σ₃, condition number, rank, Frobenius norm, and step-by-step eigenvalue decomposition.
• Standard Form Calculator — Scientific & Engineering Notation — Convert numbers to and from standard form (scientific notation). Shows mantissa, exponent, engineering notation, SI prefix, expanded form, and arithmetic operations.
• Hyperbolic Sine Calculator — sinh(x) with All 6 Functions — Calculate sinh(x) and all 6 hyperbolic functions. Shows identity verification, comparison with regular trig, common values table, and inverse hyperbolic results.
• Sum & Difference Identities Calculator — sin(A±B), cos(A±B), tan(A±B) — Compute exact and decimal values for all six sum and difference trig identities. Step-by-step derivation, intermediate values, and exact forms for special angles.
• Standard Notation Converter — All Number Formats — Convert between standard notation, scientific, engineering, hexadecimal, and word forms. Shows place value breakdown, SI prefix reference, and magnitude comparison.
• Supplementary Angles Calculator — Find 180° Pairs & Trig Values — Calculate supplementary angles (180° − θ), complementary angles (90° − θ), and explement (360° − θ). Visual angle bars, trig identities, and common angle pair tables.
• Tangent Calculator (tan θ) — All Trig Functions & Quadrant Info — Calculate the tangent of any angle in degrees, radians, or gradians. See all 6 trig functions, asymptote warnings, quadrant identification, and a common values table.
• Arctan Calculator with Taylor Series & Step-by-Step — tan⁻¹(x) — Detailed inverse tangent calculator with Taylor series approximation, convergence analysis, step-by-step computation, and relationship to other inverse trig functions.
• Inverse Tangent Calculator (tan⁻¹ / arctan) — Degrees & Radians — Calculate arctan (tan⁻¹) of any value. Get results in degrees, radians, gradians, and turns. Includes atan2 mode, common values table, and visual range indicator.
• Tangent of Angle Between Two Lines Calculator — Slope & Equation — Calculate the tangent of the angle between two lines using slopes or equations. Detect parallel and perpendicular lines, find acute and obtuse angles, with visual intersection diagram.
• Tanh Calculator (Hyperbolic Tangent) — Calculate tanh(x) and all six hyperbolic functions. Compare tanh vs sigmoid, verify identities, explore common values with visual saturation curves.
• Trigonometry Calculator (All Functions) — Calculate all 6 trig functions, reciprocals, and inverses for any angle. Quadrant analysis, unit circle visual, and special angles reference table.
• Theta Calculator — Angle Converter, Trig Values, Quadrant & Unit Circle — Multi-purpose theta calculator: convert between degrees, radians, gradians, and turns. Find all 6 trig values, reference angle, quadrant, coterminal angles, and unit circle visualization.
• Trigonometry Degree Calculator (DMS & Decimal) — Calculate trig functions for degree inputs. Convert between DMS and decimal degrees, generate range tables, and reference common angle values.
• Trig Identities Calculator & Verifier — Verify 24+ trig identities for any angle. Pythagorean, reciprocal, double angle, half angle, sum/product formulas with pass/fail status and error analysis.
• Union & Intersection Calculator (Set Operations) — Calculate union, intersection, difference, and symmetric difference of two sets. Venn diagram, Jaccard similarity, power set size, and complement analysis.
• Trigonometry Calculator — Solve Any Triangle — Solve right and oblique triangles. Enter sides and angles to find all unknowns, area, circumradius, and inradius. SSS, SAS, ASA, AAS, SSA modes included.