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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.
Trin-for-trin guide
- 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
Løste eksempler
Input
sin 30°
Resultat
0.5
sin(π/6) = 1/2
Input
cos 60°
Resultat
0.5
cos(π/3) = 1/2
Input
tan 45°
Resultat
1
tan(π/4) = sin/cos = 1
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