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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.
Przewodnik krok po kroku
- 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
Rozwiązane przykłady
Wejście
sin 30°
Wynik
0.5
sin(π/6) = 1/2
Wejście
cos 60°
Wynik
0.5
cos(π/3) = 1/2
Wejście
tan 45°
Wynik
1
tan(π/4) = sin/cos = 1
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