Revision #680 → #1642 · back to history
addedTrigonometric functionsb6190df21301
addedSix trigonometric functionsb5d803b81648
addedRight-angled triangle definitionsd49530212e26
addedCofunction identity from complementary anglesa158f6a5555c
addedRadian measureedd934298caf
addedUnit-circle definitions of sine and cosine44a81f351651
addedPythagorean identity from unit circle65cf1b5bac8f
addedPeriodicity of trigonometric functions3240ceb741a8
addedFundamental period of tangent and cotangent51c9d23757f0
addedAlgebraic values at standard anglesfa016a2f57ad
addedConstructibility of sine and cosine for multiples of 3 degrees9d1605711e7f
addedGalois obstruction for integer-degree angles32dac09cb14a
addedAlgebraicity for rational-degree anglesbb6cba5add8e
addedTranscendence corollary of Baker's theoremb24f3223e598
addedRational tangent implies rational double-angle sine and cosine5dbb3609b7e5
addedSine and cosine as initial value problem3bcd33e723f4
addedSine and cosine solve the harmonic ODE71c5e59d6c3f
addedPeriodicity from ODE defines pic0682fa3ee5b
addedTangent ODE307ce058fa95
addedPower series for sine and cosine48f867f83ea2
addedEntire extension via infinite radius of convergence0c1f8d3d6689
addedMeromorphic extension of other trig functions7e2fd3830f82
addedCombinatorial interpretation of Taylor coefficients8189cf7fd2a3
addedContinued fraction expansions8bb5b0d51bd1
addedPartial fraction expansion of cotangentd7de99068910
addedEuler's infinite product for sine6ebc5972abe8
addedEuler's formulafab5b342f782
addedSine and cosine in terms of complex exponential090cee674182
addedTopological group definition of sine and cosine5e16e91d0b6f
addedInverse tangent via integration47a7a541c776
addedSine and cosine by inversion8645ef4f3eac
addedAddition formulae from integral definitionfe433f780115
addedFunctional equation characterization of sine and cosinef893c3f16166
addedComplex sine and cosine via real and hyperbolic functionsace67e3849bc
addedPeriodicity and smallest positive periodfe30ac4d2443
addedZeros of sine and cosine0a7a296e9435
addedTangent zeros and poles2fc9ab2f8cb8
addedCotangent zeros and polesfce96ef6b2f5
addedParity of trigonometric functions0eb65f35f736
addedPeriods of trigonometric functions340459e07679
addedPythagorean identity95da68537935
addedSum and difference formulasf448c17c0fc9
addedDouble-angle formulae85a426cd6c30
addedTangent half-angle substitution6da52494d785
addedDerivatives of trigonometric functions436700f88858
addedInverse trigonometric functionsdcc273525b4d
addedLaw of sines8741492db3e4
addedLaw of cosines30e546ab00d1
addedLaw of tangentsa24830f25312
addedLaw of cotangentse1c4e4cdc611
addedHeron's formula via incircle radius7ce443352e3d
addedFourier series of periodic functions278548e4a247
addedSquare wave Fourier series37cc674f196b
addedLeibniz: sine is not algebraic44ba44eeb8c2