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Plane Trigonometry
 Limits of Ratios
  Proof
 Sources and References

Plane Trigonometry

Limits of Ratios

753 image sinπœƒπœƒ=tanπœƒπœƒ=1 when πœƒ vanishes. For ulimately 𝑃𝑁𝐴𝑃=𝐴𝑇𝐴𝑃=1. 601, 606 754 𝑛sinπœƒπ‘›=𝑛, when 𝑛 is infinite. By putting πœƒπ‘› for πœƒ in last. 755 cosπœƒπ‘›π‘›=1 when 𝑛 is infinite.

Proof

Put 1βˆ’sin2πœƒπ‘›π‘›2, and expand the logarithm by (156).

Sources and References

https://archive.org/details/synopsis-of-elementary-results-in-pure-and-applied-mathematics-pdfdrive

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ID: 210900010 Last Updated: 9/10/2021 Revision: 0 Ref:

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References

  1. B. Joseph, 1978, University Mathematics: A Textbook for Students of Science & Engineering
  2. Ayres, F. JR, Moyer, R.E., 1999, Schaum's Outlines: Trigonometry
  3. Hopkings, W., 1833, Elements of Trigonometry
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