000 02571nam a2200373 i 4500
001 OTLid0000611
003 MnU
005 20241120064017.0
006 m o d s
007 cr
008 180916s2014 mnu o 0 0 eng d
040 _aMnU
_beng
_cMnU
050 4 _aQA37.3
050 4 _aQA440-699
100 1 _aBeveridge, Richard W.
_eauthor
245 0 0 _aTrigonometry
_cRichard Beveridge
264 2 _aMinneapolis, MN
_bOpen Textbook Library
264 1 _a[Place of publication not identified]
_bRichard W. Beveridge
_c[2014]
264 4 _c©2014.
300 _a1 online resource
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 0 _aOpen textbook library.
505 0 _a1. Right Triangle Trigonometry -- 1.1 Measuring Angles -- 1.2 The Trigonometric Ratios -- 1.3 Solving Triangles -- 1.4 Applications -- 1.5 More Applications -- 2. Graphing the Trigonometric Functions -- 2.1 Trigonometric Functions of Non-Acute Angles -- 2.2 Graphing Trigonometric Functions -- 2.3 The Vertical Shift of a Trigonometric Function -- 2.4 Phase Shift -- 2.5 Combining the Transformations -- 3. Trigonometric Identities and Equations -- 3.1 Reciprocal and Pythagorean Identities -- 3.2 Double-Angle Identities -- 3.3 Trigonometric Equations -- 3.4 More Trigonometric Equations -- 4. The Law of Sines; The Law of Cosines -- 4.1 The Law of Sines -- 4.2 The Law of Sines: the ambiguous case -- 4.3 The Law of Cosines -- 4.4 Applications
520 0 _aThe precursors to what we study today as Trigonometry had their origin in ancient Mesopotamia, Greece and India. These cultures used the concepts of angles and lengths as an aid to understanding the movements of the heavenly bodies in the night sky. Ancient trigonometry typically used angles and triangles that were embedded in circles so that many of the calculations used were based on the lengths of chords within a circle. The relationships between the lengths of the chords and other lines drawn within a circle and the measure of the corresponding central angle represent the foundation of trigonometry - the relationship between angles and distances.
542 1 _fAttribution-NonCommercial-ShareAlike
546 _aIn English.
588 0 _aDescription based on online resource
650 0 _aMathematics
_vTextbooks
650 0 _aGeometry and Trigonometry
_vTextbooks
710 2 _aOpen Textbook Library
_edistributor
856 4 0 _uhttps://open.umn.edu/opentextbooks/textbooks/611
_zAccess online version
999 _c38836
_d38836