Trigonometric Functions Quiz
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Questions and Answers

Cotangent function'un formülünü hangi işlemden elde edilir?

  • tan(θ) / sin(θ)
  • 1 / tan(θ) (correct)
  • sin(θ) / cos(θ)
  • cos(θ) / sin(θ)

    • Sinüs function'un değer aralığı nedir?

  • [0, 1]
  • (0, 1]
  • (-∞, ∞)
  • [-1, 1] (correct)

    • Tanjant function'un tanımını verilen seçeneklerden hangisi sağlar?

  • the ratio of the sine to the cosine (correct)
  • the ratio of the opposite side to the adjacent side
  • the ratio of the opposite side to the hypotenuse
  • the ratio of the adjacent side to the hypotenuse

    • Cosecant function'un hangi değerde undefined olur?

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    Cosine function'un değeri, 0 derece için nedir?

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    Cotangent function'un hangi özelliği, -θ için -cot(θ) olarak ifade edilir?

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    Study Notes

    Trigonometric Functions

    Cotangent (cot)

    • Definition: The reciprocal of the tangent function
    • Formula: cot(θ) = 1 / tan(θ) = cos(θ) / sin(θ)
    • Range: (-∞, ∞)
    • Properties:
      • cot(0) = undefined
      • cot(π/2) = 0
      • cot(-θ) = -cot(θ)

    Sine (sin)

    • Definition: The ratio of the opposite side to the hypotenuse in a right-angled triangle
    • Formula: sin(θ) = opposite side / hypotenuse
    • Range: [-1, 1]
    • Properties:
      • sin(0) = 0
      • sin(π/2) = 1
      • sin(-θ) = -sin(θ)

    Cosine (cos)

    • Definition: The ratio of the adjacent side to the hypotenuse in a right-angled triangle
    • Formula: cos(θ) = adjacent side / hypotenuse
    • Range: [-1, 1]
    • Properties:
      • cos(0) = 1
      • cos(π/2) = 0
      • cos(-θ) = cos(θ)

    Tangent (tan)

    • Definition: The ratio of the sine to the cosine
    • Formula: tan(θ) = sin(θ) / cos(θ)
    • Range: (-∞, ∞)
    • Properties:
      • tan(0) = 0
      • tan(π/2) = undefined
      • tan(-θ) = -tan(θ)

    Cosecant (csc)

    • Definition: The reciprocal of the sine function
    • Formula: csc(θ) = 1 / sin(θ)
    • Range: (-∞, -1] ∪ [1, ∞)
    • Properties:
      • csc(0) = undefined
      • csc(π/2) = 1
      • csc(-θ) = -csc(θ)

    Secant (sec)

    • Definition: The reciprocal of the cosine function
    • Formula: sec(θ) = 1 / cos(θ)
    • Range: (-∞, -1] ∪ [1, ∞)
    • Properties:
      • sec(0) = 1
      • sec(π/2) = undefined
      • sec(-θ) = sec(θ)

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    Description

    Bu quiz, trigonometrik fonksiyonların tanım, formül ve özelliklerini kapsamaktadır. Cotangent, sine, cosine, tangent, cosecant ve secant fonksiyonlarının özellikleri ve kullanımları hakkında bilgi edinmek için bu quiz'i çözün!

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