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Author(s) Philippe Delsarte, Manon Oreins
Deadline No deadline
Submission limit No limitation
Category tags Trigo, Simp

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Trigonométrie - Q42

Donner une expression simplifiée, purement algébrique, des neuf expressions suivantes, qui composent une fonction trigonométrique avec une fonction cyclométrique :

Question 1:
Add answer

sin(arcsinx)

  • General
  • Symbols
  • Geometry
$\frac{\square}{\square}$⬜⬜​​$\sqrt{\square}$√⬜​$\sqrt[3]{\square}$3√⬜​$\sqrt[\square]{\square}$⬜√⬜​$\int_{\square}^{\square}$∫⬜⬜​​$\square^2$⬜2​$\square_2$⬜2​​$\left(\square\right)$(⬜)​
$\times$×​$\div$÷​$\pm$±​$\pi$π​$\infty$∞​$\varnothing$∅​$\ne$≠​$\ge$≥​$\le$≤​$>$>​$<$<​$\cup$∪​$\cap$∩​
$\angle$∠​$\parallel$∥​$\perp$⊥​$\triangle$△​$\parallelogram$▱​
Question 2:
Add answer

cos(arcsinx)

  • General
  • Symbols
  • Geometry
$\frac{\square}{\square}$⬜⬜​​$\sqrt{\square}$√⬜​$\sqrt[3]{\square}$3√⬜​$\sqrt[\square]{\square}$⬜√⬜​$\int_{\square}^{\square}$∫⬜⬜​​$\square^2$⬜2​$\square_2$⬜2​​$\left(\square\right)$(⬜)​
$\times$×​$\div$÷​$\pm$±​$\pi$π​$\infty$∞​$\varnothing$∅​$\ne$≠​$\ge$≥​$\le$≤​$>$>​$<$<​$\cup$∪​$\cap$∩​
$\angle$∠​$\parallel$∥​$\perp$⊥​$\triangle$△​$\parallelogram$▱​
Question 3:
Add answer

tan(arcsinx)

  • General
  • Symbols
  • Geometry
$\frac{\square}{\square}$⬜⬜​​$\sqrt{\square}$√⬜​$\sqrt[3]{\square}$3√⬜​$\sqrt[\square]{\square}$⬜√⬜​$\int_{\square}^{\square}$∫⬜⬜​​$\square^2$⬜2​$\square_2$⬜2​​$\left(\square\right)$(⬜)​
$\times$×​$\div$÷​$\pm$±​$\pi$π​$\infty$∞​$\varnothing$∅​$\ne$≠​$\ge$≥​$\le$≤​$>$>​$<$<​$\cup$∪​$\cap$∩​
$\angle$∠​$\parallel$∥​$\perp$⊥​$\triangle$△​$\parallelogram$▱​
Question 4:
Add answer

sin(arccosx)

  • General
  • Symbols
  • Geometry
$\frac{\square}{\square}$⬜⬜​​$\sqrt{\square}$√⬜​$\sqrt[3]{\square}$3√⬜​$\sqrt[\square]{\square}$⬜√⬜​$\int_{\square}^{\square}$∫⬜⬜​​$\square^2$⬜2​$\square_2$⬜2​​$\left(\square\right)$(⬜)​
$\times$×​$\div$÷​$\pm$±​$\pi$π​$\infty$∞​$\varnothing$∅​$\ne$≠​$\ge$≥​$\le$≤​$>$>​$<$<​$\cup$∪​$\cap$∩​
$\angle$∠​$\parallel$∥​$\perp$⊥​$\triangle$△​$\parallelogram$▱​
Question 5:
Add answer

cos(arccosx)

  • General
  • Symbols
  • Geometry
$\frac{\square}{\square}$⬜⬜​​$\sqrt{\square}$√⬜​$\sqrt[3]{\square}$3√⬜​$\sqrt[\square]{\square}$⬜√⬜​$\int_{\square}^{\square}$∫⬜⬜​​$\square^2$⬜2​$\square_2$⬜2​​$\left(\square\right)$(⬜)​
$\times$×​$\div$÷​$\pm$±​$\pi$π​$\infty$∞​$\varnothing$∅​$\ne$≠​$\ge$≥​$\le$≤​$>$>​$<$<​$\cup$∪​$\cap$∩​
$\angle$∠​$\parallel$∥​$\perp$⊥​$\triangle$△​$\parallelogram$▱​
Question 6:
Add answer

tan(arccosx)

  • General
  • Symbols
  • Geometry
$\frac{\square}{\square}$⬜⬜​​$\sqrt{\square}$√⬜​$\sqrt[3]{\square}$3√⬜​$\sqrt[\square]{\square}$⬜√⬜​$\int_{\square}^{\square}$∫⬜⬜​​$\square^2$⬜2​$\square_2$⬜2​​$\left(\square\right)$(⬜)​
$\times$×​$\div$÷​$\pm$±​$\pi$π​$\infty$∞​$\varnothing$∅​$\ne$≠​$\ge$≥​$\le$≤​$>$>​$<$<​$\cup$∪​$\cap$∩​
$\angle$∠​$\parallel$∥​$\perp$⊥​$\triangle$△​$\parallelogram$▱​
Question 7:
Add answer

sin(arctanx)

  • General
  • Symbols
  • Geometry
$\frac{\square}{\square}$⬜⬜​​$\sqrt{\square}$√⬜​$\sqrt[3]{\square}$3√⬜​$\sqrt[\square]{\square}$⬜√⬜​$\int_{\square}^{\square}$∫⬜⬜​​$\square^2$⬜2​$\square_2$⬜2​​$\left(\square\right)$(⬜)​
$\times$×​$\div$÷​$\pm$±​$\pi$π​$\infty$∞​$\varnothing$∅​$\ne$≠​$\ge$≥​$\le$≤​$>$>​$<$<​$\cup$∪​$\cap$∩​
$\angle$∠​$\parallel$∥​$\perp$⊥​$\triangle$△​$\parallelogram$▱​
Question 8:
Add answer

cos(arctanx)

  • General
  • Symbols
  • Geometry
$\frac{\square}{\square}$⬜⬜​​$\sqrt{\square}$√⬜​$\sqrt[3]{\square}$3√⬜​$\sqrt[\square]{\square}$⬜√⬜​$\int_{\square}^{\square}$∫⬜⬜​​$\square^2$⬜2​$\square_2$⬜2​​$\left(\square\right)$(⬜)​
$\times$×​$\div$÷​$\pm$±​$\pi$π​$\infty$∞​$\varnothing$∅​$\ne$≠​$\ge$≥​$\le$≤​$>$>​$<$<​$\cup$∪​$\cap$∩​
$\angle$∠​$\parallel$∥​$\perp$⊥​$\triangle$△​$\parallelogram$▱​
Question 9:
Add answer

tan(arctanx)

  • General
  • Symbols
  • Geometry
$\frac{\square}{\square}$⬜⬜​​$\sqrt{\square}$√⬜​$\sqrt[3]{\square}$3√⬜​$\sqrt[\square]{\square}$⬜√⬜​$\int_{\square}^{\square}$∫⬜⬜​​$\square^2$⬜2​$\square_2$⬜2​​$\left(\square\right)$(⬜)​
$\times$×​$\div$÷​$\pm$±​$\pi$π​$\infty$∞​$\varnothing$∅​$\ne$≠​$\ge$≥​$\le$≤​$>$>​$<$<​$\cup$∪​$\cap$∩​
$\angle$∠​$\parallel$∥​$\perp$⊥​$\triangle$△​$\parallelogram$▱​