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# Content

`Plane TrigonometryβLimits of RatiosββProofβSources and References`

# Plane Trigonometry

## Limits of Ratios

753 sinππ=tanππ=1 when π vanishes. For ulimately πππ΄π=π΄ππ΄π=1. 601, 606 754 πsinππ=π, when π is infinite. By putting ππ for π in last. 755 cosπππ=1 when π is infinite.

### Proof

Put 1βsin2ππ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

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

References

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

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