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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.
Vaiheittainen opas
- 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
Ratkaistut esimerkit
Syöte
sin 30°
Tulos
0.5
sin(π/6) = 1/2
Syöte
cos 60°
Tulos
0.5
cos(π/3) = 1/2
Syöte
tan 45°
Tulos
1
tan(π/4) = sin/cos = 1
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