trigonometric functions
Sine, cosine, tangent
Trigonometric functions are mathematical functions relating angles to ratios of sides in right triangles.
The primary six—sine, cosine, tangent, cotangent, secant, and cosecant—extend beyond geometry into wave analysis, physics, and engineering.
The trigonometric functions describe periodic phenomena like sound waves and tides.
Angle measurement units
- degreesUnits of measurement
- unit circleRadius-one circle at origin
- angleGeometric measure of rotation
- arc lengthCurved segment's measure
period · quadrant · coterminal · rotation · revolution · conversion
Trig ratio, 1/cos
Trig ratio abbreviation
- adjacentDirectly next to
- hypotenuseLongest right-triangle side
- unit circleRadius-one circle at origin
- periodicityRecurring at regular intervals
arccosine · phase shift · quadrant · harmonic · oscillation · law of cosines · dot product
Violation of divine law
- oppositeReverse or contrary thing
- hypotenuseLongest right-triangle side
- unit circleRadius-one circle at origin
- amplitudeMaximum oscillation displacement
periodicity · sinusoid · harmonic · oscillation · phase shift · arcsin · inverse sine · quadrant
Oscillating motion through medium
- oscillationRepeated back-and-forth movement
- harmonic motionPeriodic movement around equilibrium
- signal processingMathematical manipulation of waveforms
- acousticsStudy of sound transmission
alternating current · navigation · surveying · pendulum · vibration · resonance · modulation · phase
Yellowish-brown hue
- oppositeReverse or contrary thing
- adjacentDirectly next to
- slopeAngled terrain or steepness
- asymptoteUnreached bounding curve
tangent line · arctan · periodicity · undefined · discontinuity · quadrant · angle of elevation · gradient
Trigonometric complement pair
- complementary anglesAngles summing to ninety
- supplementary anglesAngles summing to 180°
- verificationProving something accurate
- simplificationMaking something less complex
radians
Angle measurement units
- degreesUnits of measurement
- unit circleRadius-one circle at origin
- angleGeometric measure of rotation
arc length · period · quadrant · coterminal · rotation · revolution · conversion
secant
Trig ratio, 1/cos
cot · asymptote · unit circle · cofunction
cos
Trig ratio abbreviation
- adjacentDirectly next to
- hypotenuseLongest right-triangle side
- unit circleRadius-one circle at origin
periodicity · arccosine · phase shift · quadrant · harmonic · oscillation · law of cosines · dot product
sin
Violation of divine law
- oppositeReverse or contrary thing
- hypotenuseLongest right-triangle side
- unit circleRadius-one circle at origin
amplitude · periodicity · sinusoid · harmonic · oscillation · phase shift · arcsin · inverse sine · quadrant · sine wave
wave
Oscillating motion through medium
- oscillationRepeated back-and-forth movement
- harmonic motionPeriodic movement around equilibrium
- signal processingMathematical manipulation of waveforms
acoustics · alternating current · navigation · surveying · pendulum · vibration · resonance · modulation · phase · amplitude
tan
Yellowish-brown hue
asymptote · tangent line · arctan · periodicity · undefined · discontinuity · quadrant · angle of elevation · gradient
cofunction
Trigonometric complement pair
- complementary anglesAngles summing to ninety
- supplementary anglesAngles summing to 180°
- verificationProving something accurate
trigonometric functionslinear functions
Equations producing straight graphs
exponential growth · quadratic functions · arithmetic operations · algebraic equations · elementary algebra
trigonometric functionsalgebraic expressions
Mathematical phrases with variables
trigonometry, trigonometric, trigonometrical, trigonometrically, function, functions, functional, functionally, functionality