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DigiCalcs

כיצד לחשב את Trig Functions

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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.

מדריך שלב אחר שלב

  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

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

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