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

Rectangle of Length $b$ and Width $a$

 * $5.1$ Definition:Sine/Definition from Triangle


 * $5.2$ Definition:Cosine/Definition from Triangle


 * $5.3$ Definition:Tangent Function/Definition from Triangle


 * $5.4$ Definition:Cotangent/Definition from Triangle


 * $5.5$ Definition:Secant/Definition from Triangle


 * $5.6$ Definition:Cosecant/Definition from Triangle

Extensions to Angles which may be Greater than $90^\circ$

 * Definition:Cartesian Coordinates/Coordinate Plane


 * Definition:Cartesian Coordinates/Ordered Pair


 * Definition:Cartesian Coordinates/Ordered Pair/X Coordinate


 * Definition:Cartesian Coordinates/Ordered Pair/Y Coordinate


 * Distance of Point from Origin in Cartesian Coordinates


 * Definition:Polar Coordinates


 * Definition:Polar Coordinates/Radial Coordinate


 * Definition:Polar Coordinates/Angular Coordinate


 * Definition:Cartesian Coordinates/Quadrants


 * Definition:Cartesian Coordinates/Quadrants/First


 * Definition:Cartesian Coordinates/Quadrants/Second


 * Definition:Cartesian Coordinates/Quadrants/Third


 * Definition:Cartesian Coordinates/Quadrants/Fourth


 * $5.7$ 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


 * $5.20$ Sum of Squares of Sine and Cosine/Corollary 1


 * $5.21$ Sum of Squares of Sine and Cosine/Corollary 2

Exact Values for Trigonometric Functions of Various Angles

 * Particular Values of Sine Function


 * Sine of Zero is Zero


 * Sine of 15 Degrees


 * Sine of 30 Degrees


 * Sine of 45 Degrees


 * Sine of 60 Degrees


 * Sine of 75 Degrees


 * Sine of Right Angle


 * Sine of 105 Degrees


 * Sine of 120 Degrees


 * Sine of 135 Degrees


 * Sine of 150 Degrees


 * Sine of 165 Degrees


 * Sine of Straight Angle


 * Sine of 195 Degrees


 * Sine of 210 Degrees


 * Sine of 225 Degrees


 * Sine of 240 Degrees


 * Sine of 255 Degrees


 * Sine of Three Right Angles


 * Sine of 285 Degrees


 * Sine of 300 Degrees


 * Sine of 315 Degrees


 * Sine of 330 Degrees


 * Sine of 345 Degrees


 * Sine of Full Angle

Graphs of Trigonometric Functions

 * $5.22$ Shape of Sine Function


 * $5.23$ Shape of Cosine Function


 * $5.24$ Shape of Tangent Function


 * $5.25$ Shape of Cotangent Function


 * $5.26$ Shape of Secant Function


 * $5.27$ Shape of Cosecant Function