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Jinsi ya kukokotoa Trig Functions

Trig Functions ni nini?

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.

Mwongozo wa Hatua kwa Hatua

  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

Mifano Iliyotatuliwa

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

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