Revisiting Triangle Function Properties Via Calculus.pdf

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Preview of Revisiting Triangle Function Properties via Calculus
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📊 Size: 349 KB
📄 Pages: 11 pages
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Summary

此文研究使用微積分方法和積分方法來探討三角函數的性質,包括恆等式、和角公式、週期與對稱性質和微分公式。作者使用微分方程理論和Picard迭代法證明了三角函數的存在唯一性,並使用這些方法推導了三角函數的性質。此外,作者還提出了使用積分和反函數的方法來定義sin x函數和cos x函數,並研究了這些函數的性質。

Description

三角函數的性質可分為恆等式、和角公式、週期與對稱性質和微分公式。這項研究嘗試運用微分方法和積分方法來重新推導這些性質。單位圓上一點座標P(x0, y0)定義x0 = cos θ, y0 = sin θ, 其中θ為線段OP和X軸的夾角。函數sin x和cos x的性質可分為恆等式、和角公式、微分公式、週期與對稱性質。

Technical Information

  • File Format: PDF
  • File Size: 349 KB
  • Pages: 11
  • Language: ES
  • Total Downloads: 39
  • Last Updated: 4 hours ago

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