Trigonometria del cercles unitari

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Questions and Answers

Que representa cos 0?

  • 1 (correct)
  • 1/2
  • 0
  • √3/2

Que representa sin 0?

  • 0 (correct)
  • 1
  • √3/2
  • 1/2

Que representa cos π/6?

  • √3/2 (correct)
  • 1/2
  • 0
  • 1

Que representa sin π/6?

<p>1/2 (C)</p> Signup and view all the answers

Que representa cos π/4?

<p>√2/2 (D)</p> Signup and view all the answers

Que representa sin π/4?

<p>√2/2 (D)</p> Signup and view all the answers

Que representa cos π/3?

<p>1/2 (C)</p> Signup and view all the answers

Que representa sin π/3?

<p>√3/2 (B)</p> Signup and view all the answers

Que representa cos π/2?

<p>0 (B)</p> Signup and view all the answers

Que representa sin π/2?

<p>1 (C)</p> Signup and view all the answers

Que representa cos 2π/3?

<p>-1/2 (B)</p> Signup and view all the answers

Que representa sin 2π/3?

<p>√3/2 (A)</p> Signup and view all the answers

Que representa cos 3π/4?

<p>-√2/2 (A)</p> Signup and view all the answers

Que representa sin 3π/4?

<p>√2/2 (D)</p> Signup and view all the answers

Que representa cos 5π/6?

<p>-√3/2 (A)</p> Signup and view all the answers

Que representa sin 5π/6?

<p>1/2 (B)</p> Signup and view all the answers

Que representa cos π?

<p>-1 (B)</p> Signup and view all the answers

Que representa sin π?

<p>0 (B)</p> Signup and view all the answers

Que representa cos 7π/6?

<p>-√3/2 (D)</p> Signup and view all the answers

Que representa sin 7π/6?

<p>-1/2 (B)</p> Signup and view all the answers

Que representa cos 5π/4?

<p>-√2/2 (D)</p> Signup and view all the answers

Que representa sin 5π/4?

<p>-√2/2 (A)</p> Signup and view all the answers

Que representa cos 4π/3?

<p>-1/2 (A)</p> Signup and view all the answers

Que representa sin 4π/3?

<p>-√3/2 (B)</p> Signup and view all the answers

Que representa cos 3π/2?

<p>0 (D)</p> Signup and view all the answers

Que representa sin 3π/2?

<p>-1 (C)</p> Signup and view all the answers

Que representa cos 5π/3?

<p>1/2 (A)</p> Signup and view all the answers

Que representa sin 5π/3?

<p>-√3/2 (D)</p> Signup and view all the answers

Que representa cos 7π/4?

<p>√2/2 (C)</p> Signup and view all the answers

Que representa sin 7π/4?

<p>-√2/2 (D)</p> Signup and view all the answers

Que representa cos 11π/6?

<p>√3/2 (C)</p> Signup and view all the answers

Que representa sin 11π/6?

<p>-1/2 (D)</p> Signup and view all the answers

Que representa cos 2π?

<p>1 (A)</p> Signup and view all the answers

Que representa sin 2π?

<p>0 (A)</p> Signup and view all the answers

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Study Notes

Fonctions trigonométricas del cercles unitari

  • cos 0: valor de 1.
  • sin 0: valor de 0.

Angles en radians amb càlculs trigonomètrics

  • cos π/6: valor de √3/2.

  • sin π/6: valor de 1/2.

  • cos π/4: valor de √2/2.

  • sin π/4: valor de √2/2.

  • cos π/3: valor de 1/2.

  • sin π/3: valor de √3/2.

  • cos π/2: valor de 0.

  • sin π/2: valor de 1.

Angles negatius e angles a l'entorn de π

  • cos 2π/3: valor de -1/2.

  • sin 2π/3: valor de √3/2.

  • cos 3π/4: valor de -√2/2.

  • sin 3π/4: valor de √2/2.

  • cos 5π/6: valor de -√3/2.

  • sin 5π/6: valor de 1/2.

  • cos π: valor de -1.

  • sin π: valor de 0.

Altres angles del cercle unitari

  • cos 7π/6: valor de -√3/2.

  • sin 7π/6: valor de -1/2.

  • cos 5π/4: valor de -√2/2.

  • sin 5π/4: valor de -√2/2.

  • cos 4π/3: valor de -1/2.

  • sin 4π/3: valor de -√3/2.

  • cos 3π/2: valor de 0.

  • sin 3π/2: valor de -1.

Retorn a la normalitat

  • cos 5π/3: valor de 1/2.

  • sin 5π/3: valor de -√3/2.

  • cos 7π/4: valor de √2/2.

  • sin 7π/4: valor de -√2/2.

  • cos 11π/6: valor de √3/2.

  • sin 11π/6: valor de -1/2.

  • cos 2π: valor de 1.

  • sin 2π: valor de 0.

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