Trigonometry Guide

Welcome to our comprehensive trigonometry guide. Browse through our collection of trigonometric calculators and tools, or visit our calculator categories page to explore more mathematical tools.

Basic Trigonometric Functions

Basic Trig Functions

Calculate sine, cosine, and tangent values.

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Inverse Trig Functions

Calculate arcsin, arccos, and arctan values.

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Extended Trig Functions

Calculate cotangent, secant, and cosecant.

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Exact Trig Values

Find exact values for special angles.

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Triangle & Angle Calculations

Right Triangle Solver

Solve right triangles using trigonometry.

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Law of Sines

Solve triangles using the Law of Sines.

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Law of Cosines

Solve triangles using the Law of Cosines.

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Angle Bisector

Calculate angle bisector properties.

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Angle Analysis Tools

Angle Conversion

Convert between radians and degrees.

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Angle of Elevation

Calculate angles of elevation/depression.

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Angle of Rotation

Calculate rotation angles and properties.

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Slope Angle

Calculate angles from slopes.

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Advanced Angle Tools

Coterminal Angles

Find angles with same terminal side.

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Reference Angle

Calculate reference angles.

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Proportional Angles

Find proportional angle relationships.

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Harmonic Mean Angles

Calculate harmonic means of angles.

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Special Functions

Hyperbolic Functions

Calculate sinh, cosh, and tanh.

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Inverse Hyperbolic

Calculate inverse hyperbolic functions.

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Double Angle

Calculate double angle formulas.

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Sum to Product

Convert sum to product formulas.

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Coordinate Systems

Polar Coordinates

Convert between polar and rectangular.

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Polar to Cylindrical

Convert polar to cylindrical coordinates.

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Cylindrical to Cartesian

Convert cylindrical to Cartesian.

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Spherical to Cartesian

Convert spherical to Cartesian.

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Wave & Motion Analysis

Angular Velocity

Calculate angular velocity and speed.

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Angular Frequency

Find angular frequency of motion.

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Phase Shift

Calculate phase shifts in waves.

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Sine Wave Phase

Analyze sine wave phase differences.

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Wave Applications

Wave Equation

Solve wave equations.

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Wave Interference

Analyze wave interference patterns.

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Dynamic Wave

Calculate dynamic wave interference.

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Periodic Function

Analyze periodic functions.

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Geometric Applications

Arc Length

Calculate length of circular arcs.

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Sector Area

Find area of circular sectors.

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Sector Perimeter

Calculate sector perimeters.

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Circle Area

Calculate circle areas and properties.

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Advanced Analysis

Fourier Series

Calculate Fourier series coefficients.

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Fourier Transform

Compute trigonometric Fourier transforms.

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Taylor Series

Calculate Taylor series expansions.

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Spherical Harmonics

Calculate spherical harmonic functions.

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Special Calculations

Vector Angle

Calculate angles between vectors.

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Tangent Plane

Find tangent planes to surfaces.

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Trig Approximation

Find trigonometric approximations.

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Trig Equation Solver

Solve trigonometric equations.

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Additional Tools

Pythagorean Identity

Verify and use Pythagorean identities.

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Triangle Inequality

Check triangle inequality theorem.

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Circular Arc Tangent

Find tangent lines to circular arcs.

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Exact Circular Arc

Calculate exact arc measurements.

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Identities & Equations

Double Angle Identity

Calculate double angle identities.

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Triple Angle

Calculate triple angle formulas.

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Trig Identity

Verify trigonometric identities.

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Exact Values

Find exact trigonometric values.

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Area & Measurement

Area & Perimeter

Calculate area and perimeter.

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Circumference

Calculate circle circumference.

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Volume & Surface Area

Calculate 3D object measurements.

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Triangle Angle Bisector

Find triangle angle bisectors.

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Basic Calculators

Sine Calculator

Calculate sine values.

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Cosine Calculator

Calculate cosine values.

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Tangent Calculator

Calculate tangent values.

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Exact Trigonometric

Find exact trig values.

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Advanced Trigonometry Tools

Unit Circle Calculator

Explore unit circle values and relationships.

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Trig Identity Verifier

Verify complex trigonometric identities.

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Spherical Triangle

Solve triangles on spherical surfaces.

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Harmonic Motion

Analyze simple harmonic motion.

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Advanced Analysis Tools

Spherical Harmonics

Calculate spherical harmonic functions.

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Fourier Series

Compute Fourier series coefficients.

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Trig Approximation

Find trigonometric approximations.

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Sine Wave Phase

Calculate sine wave phase differences.

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Wave Analysis Tools

Wave Interference

Analyze trigonometric wave interference.

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Fourier Transform

Compute trigonometric Fourier transforms.

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Dynamic Wave

Analyze dynamic wave interference.

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Wave Equation

Solve trigonometric wave equations.

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