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Ako vypočítať Trig Functions

Čo je Trig Functions?

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.

Sprievodca krok za krokom

  1. 1In a right triangle: sin θ = opposite/hypotenuse, cos θ = adjacent/hypotenuse, tan θ = opposite/adjacent
  2. 2Mnemonic: SOH-CAH-TOA
  3. 3Unit circle definition: sin θ = y-coordinate, cos θ = x-coordinate, at angle θ from positive x-axis
  4. 4Reciprocals: csc = 1/sin, sec = 1/cos, cot = 1/tan

Worked Examples

Vstup
sin 30°
Výsledok
0.5
sin(π/6) = 1/2
Vstup
cos 60°
Výsledok
0.5
cos(π/3) = 1/2
Vstup
tan 45°
Výsledok
1
tan(π/4) = sin/cos = 1

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