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Kā aprēķināt Trig Functions

Kas ir 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.

Soli pa solim ceļvedis

  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

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

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