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Как да изчислим Trig Functions

Какво е 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.

Ръководство стъпка по стъпка

  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

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

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