Advanced Trigonometric Converter

📐 Advanced Trigonometric Converter 14-in-1

🔢 angles · functions · triangles · polar · spherical · Fourier · complex · more

🔄 Angle Converter

Value From Degrees (°) Radians (rad) Gradians (grad) Arcminutes Arcseconds Revolutions To Degrees (°) Radians (rad) Gradians (grad) Arcminutes Arcseconds Revolutions

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6 angle units including revolutions

📊 Trig Functions

Angle Unit Degrees Radians Function sin(θ) cos(θ) tan(θ) csc(θ) sec(θ) cot(θ) asin(x) acos(x) atan(x)

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All six trig + inverses

📐 Right Triangle Solver

Side a Side b Side c (hypotenuse, optional)

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Pythagorean theorem · all angles

📐 General Triangle (SSS)

Side a Side b Side c

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Law of Cosines · all angles

📊 Trig Identities

Angle (degrees) Identity Pythagorean Double Angle Half Angle Sum/Difference Product-to-Sum

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Verify identities

🎯 Unit Circle

Angle (degrees)

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sin, cos, tan, point

📐 Law of Sines

Side a Angle A (°) Side b Angle B (°) - optional

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a/sin(A) = b/sin(B)

📍 DMS Converter

Degrees Minutes Seconds

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DMS ↔ Decimal degrees

📈 Periodic Function

A (amplitude) f (frequency) φ (phase) D (vertical shift) x value

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A·sin(2πf·x + φ) + D

🌀 Hyperbolic Functions

x value Function sinh(x) cosh(x) tanh(x) coth(x) sech(x) csch(x) asinh(x) acosh(x) atanh(x)

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Hyperbolic + inverses

🎯 Polar Coordinates

r (radius) θ (degrees)

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(r, θ) → (x, y)

🌐 Spherical Coordinates

ρ (radius) θ (polar angle, degrees) φ (azimuthal, degrees)

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(ρ, θ, φ) → (x, y, z)

📊 Fourier Series

n (terms) x value Wave type Square Wave Sawtooth Triangle

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Fourier series approximation

🔢 Complex Numbers

Real part (a) Imaginary part (b) Operation To Polar (r∠θ) Conjugate Exponential (e^z) Natural Log (ln z) Square Root

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Complex number operations

📐 Advanced Trigonometric Converter – 14-in-1
This comprehensive tool provides essential trigonometric functions:

1. Angle Converter – 6 units including revolutions.
2. Trig Functions – all six + inverses.
3. Right Triangle – Pythagorean theorem.
4. General Triangle (SSS) – Law of Cosines.
5. Trig Identities – verify identities.
6. Unit Circle – sin, cos, tan.
7. Law of Sines – solve triangles.
8. DMS Converter – degrees/minutes/seconds.
9. Periodic Function – A·sin(2πf·x+φ)+D.
10. Hyperbolic Functions – sinh, cosh, tanh.
11. Polar Coordinates – (r,θ) → (x,y).
12. Spherical Coordinates – (ρ,θ,φ) → (x,y,z).
13. Fourier Series – square, sawtooth, triangle.
14. Complex Numbers – polar, conjugate, exp, log, sqrt.

💡 Tips:
• Enter angles in degrees for most tools.
• Fourier series approximates periodic functions.
• All calculations are client-side – no data sent anywhere.
• Perfect for students, engineers, and scientists.

📖 Advanced Trigonometry – detailed guide

🎯 Polar Coordinates
(r, θ) → (x, y) where x = r·cos(θ), y = r·sin(θ). Used in navigation and physics.

🌐 Spherical Coordinates
(ρ, θ, φ) → (x, y, z) where x = ρ·sin(θ)·cos(φ), y = ρ·sin(θ)·sin(φ), z = ρ·cos(θ).

📊 Fourier Series
Approximates periodic functions using sine and cosine terms:
• Square wave: 4/π Σ sin((2n-1)x)/(2n-1)
• Sawtooth: 2/π Σ (-1)^(n+1) sin(nx)/n
• Triangle: 8/π² Σ (-1)^n sin((2n+1)x)/(2n+1)²

🔢 Complex Numbers
• Polar form: z = r∠θ = r·(cos θ + i·sin θ)
• Euler's formula: e^(iθ) = cos θ + i·sin θ
• Operations: conjugate, exponential, logarithm, square root

⚡ Educational tool · works offline · no server

✅ advanced trigonometric converter · 14-in-1 · dynamic · no server