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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.
Guida passo passo
- 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
Esempi risolti
Ingresso
sin 30°
Risultato
0.5
sin(π/6) = 1/2
Ingresso
cos 60°
Risultato
0.5
cos(π/3) = 1/2
Ingresso
tan 45°
Risultato
1
tan(π/4) = sin/cos = 1
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