Description:
Trigonometric functions; identities and equations; solutions of triangles; laws of sines; law of cosines; inverse trigonometric functions; spherical trigonometry.
Overview:
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Plane trigonometry deals with the relations between the angles and sides of triangles of which the three vertices are located on the surface of a plane and the sides are straight lines (a straight line being the shortest connection between two points on the plane).
Spherical trigonometry is the branch of spherical geometry that deals with the relationships between trigonometric functions of the sides and angles of the spherical polygons (especially spherical triangles) defined by a number of intersecting great circles on the sphere. Spherical trigonometry is of great importance for calculations in astronomy, geodesy, and navigation.
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(1) trigonometry | Definition, Formulas, Ratios, & Identities
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Topics:
1. Trigonometric Functionsa. Angles and Measurement
b. Trigonometric Functions of Angles
c. Trigonometric Function Values
d. The Sine and Cosine of Real Numbers
e. Graphs of the Sine and Cosine and Other Sine Waves
f. Solutions of Right Triangle
2. Analytic Trigonometry
a. The Eight Fundamental Identities
b. Proving Trigonometric Identities
c. Sum and Difference Identities
d. Double-Measure and Half-Measure Identities
e. Inverse Trigonometric Functions
f. Trigonometric Equations
g. Identity for the Product, Sum, and Difference of Sine and Cosine
3. Application of Trigonometry
a. The Law of Sines
b. The Law of Cosines
4. Spherical Trigonometry
a. Fundamental Formulas
b. Spherical Triangles
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