Elementary Trigonometry

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.

Precalculus Mathematics

Tác giả: Richard W. Beveridge
Nhà xuất bản: Clatsop Community College
Nguồn: LibreTexts
Giấy phép: CC BY-NC-SA
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

Đọc trực tuyến Tải PDF (nguồn mở)

Mục lục· 22 mục

01: Right Triangle Trigonometry
1.01: Measuring Angles
1.02: The Trigonometric Ratios
1.03: Solving Triangles
1.04: Applications
1.05: More Applications
02: Graphing the Trigonometric Functions
2.01: Trigonometric Functions of Non-Acute Angles
2.02: Graphing Trigonometric Functions
2.03: The Vertical Shift of a Trigonometric Function
2.04: Phase Shift
2.05: Combining the Transformations
03: Trigonometric Identities and Equations
3.01: Reciprocal and Pythagorean Identities
3.02: Double-Angle Identities
3.03: Trigonometric Equations
3.04: More Trigonometric Equations
04: The Law of Sines and The Law of Cosines
4.01: The Law of Sines
4.02: The Law of Sines - the ambiguous case
4.03: The Law of Cosines
4.04: Applications