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Trigonometric functions (sin, cos, tan, csc, sec, cot) relate the angles and sides of triangles. They extend to the unit circle for all angles and are fundamental in physics, engineering, navigation, signal processing, and wave analysis.
Guide étape par étape
- 1In a right triangle: sin θ = opposite/hypotenuse, cos θ = adjacent/hypotenuse, tan θ = opposite/adjacent
- 2Mnemonic: SOH-CAH-TOA
- 3Unit circle definition: sin θ = y-coordinate, cos θ = x-coordinate, at angle θ from positive x-axis
- 4Reciprocals: csc = 1/sin, sec = 1/cos, cot = 1/tan
Exemples résolus
Entrée
sin 30°
Résultat
0.5
sin(π/6) = 1/2
Entrée
cos 60°
Résultat
0.5
cos(π/3) = 1/2
Entrée
tan 45°
Résultat
1
tan(π/4) = sin/cos = 1
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