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# Content

Plane Trigonometry
βProperties of The Triangle
ββProof
βSources and References

# Plane Trigonometry

## Properties of The Triangle

700 π=πcosπ΅+πcosπ΄ 701 πsinπ΄=πsinπ΅=πsinπΆ 702 π2=π2+π2β2ππcosπ΄

### Proof

By Euc. I. 12 and 13, π2=π2+π2β2π.π΄π·. 703 cosπ΄=π2+π2βπ22ππ 704 If π β‘π+π+π2, and β³ denote the area π΄π΅πΆ, sinπ΄2=(π βπ)(π βπ)ππ, cosπ΄2=π (π βπ)ππ641, 642, 703, 9, 10, 1 705 tanπ΄2=(π βπ)(π βπ)π (π βπ) 706 sinπ΄=2πππ (π βπ)(π βπ)(π βπ) 707 β³=ππ2sinπ΄=π (π βπ)(π βπ)(π βπ)707, 706 708 β³=142π2π2+π2π2+π2π2βπ4βπ4βπ4

## Sources and References

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

ID: 210900005 Last Updated: 9/5/2021 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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