Book:Murray R. Spiegel/Mathematical Handbook of Formulas and Tables/Chapter 5

Definition of Trigonometric Functions for a Right Triangle

 * $5.1$ Sine of Angle


 * $5.2$ Cosine of Angle


 * $5.3$ Tangent of Angle


 * $5.4$ Cotangent of Angle


 * $5.5$ Secant of Angle


 * $5.6$ Cosecant of Angle

Extensions to Angles which may be Greater than $90 \degrees$

 * Cartesian Coordinate Plane


 * Cartesian Coordinate Pair:
 * $x$ Coordinate
 * $y$ Coordinate


 * Distance of Point from Origin in Cartesian Coordinates


 * Polar Coordinates:
 * Radial Coordinate
 * Angular Coordinate


 * Quadrants of Cartesian Coordinate Plane:
 * Quadrant $\text I$
 * Quadrant $\text {II}$
 * Quadrant $\text {III}$
 * Quadrant $\text {IV}$


 * $5.7$ Sine of Angle in Cartesian Plane


 * $5.8$ Cosine of Angle in Cartesian Plane


 * $5.9$ Tangent of Angle in Cartesian Plane


 * $5.10$ Cotangent of Angle in Cartesian Plane


 * $5.11$ Secant of Angle in Cartesian Plane


 * $5.12$ Cosecant of Angle in Cartesian Plane

Relationship between Degrees and Radians

 * $5.13$ Value of Radian in Degrees


 * $5.14$ Value of Degree in Radians

Relationships among Trigonometric Functions

 * $5.15$ Tangent is Sine divided by Cosine


 * $5.16$ Cotangent is Reciprocal of Tangent


 * $5.16$ Cotangent is Cosine divided by Sine


 * $5.17$ Secant is Reciprocal of Cosine


 * $5.18$ Cosecant is Reciprocal of Sine


 * $5.19$ Sum of Squares of Sine and Cosine


 * $5.20$ Difference of Squares of Secant and Tangent


 * $5.21$ Difference of Squares of Cosecant and Cotangent

Signs and Variations of Trigonometric Functions

 * Shape of Sine Function


 * Shape of Cosine Function


 * Shape of Tangent Function


 * Shape of Cotangent Function


 * Shape of Secant Function


 * Shape of Cosecant Function

Graphs of Trigonometric Functions

 * $5.22$ Graph of Sine Function


 * $5.23$ Graph of Cosine Function


 * $5.24$ Graph of Tangent Function


 * $5.25$ Graph of Cotangent Function


 * $5.26$ Graph of Secant Function


 * $5.27$ Graph of Cosecant Function

Functions of Negative Angles

 * $5.28$ Sine Function is Odd


 * $5.29$ Cosine Function is Even


 * $5.30$ Tangent Function is Odd


 * $5.31$ Cosecant Function is Odd


 * $5.32$ Secant Function is Even


 * $5.33$ Cotangent Function is Odd

Addition Formulas

 * $5.34$ Sine of Sum


 * $5.34$ Sine of Difference


 * $5.35$ Cosine of Sum


 * $5.35$ Cosine of Difference


 * $5.36$ Tangent of Sum


 * $5.36$ Tangent of Difference


 * $5.37$ Cotangent of Sum


 * $5.37$ Cotangent of Difference