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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.
Stapsgewijze handleiding
- 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
Uitgewerkte voorbeelden
Invoer
sin 30°
Resultaat
0.5
sin(π/6) = 1/2
Invoer
cos 60°
Resultaat
0.5
cos(π/3) = 1/2
Invoer
tan 45°
Resultaat
1
tan(π/4) = sin/cos = 1
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