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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.
Водич чекор-по-чекор
- 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
Worked Examples
Влез
sin 30°
Резултат
0.5
sin(π/6) = 1/2
Влез
cos 60°
Резултат
0.5
cos(π/3) = 1/2
Влез
tan 45°
Резултат
1
tan(π/4) = sin/cos = 1
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