TRIGONOMETRIC FUNCTIONS

TRIGONOMETRIC FUNCTIONS FOR A RIGHT TRIANGLE

 Triangle ABC has a right angle (900) at C and sides of length α, b, c. The trigonometric functions of angle A are defined as follows.

 






 

RELATIONSHIP BETWEEN DEGREES AND RADIANS

 


 

RELATIONSHIP AMONG TRIGONOMETRIC FUNCTIONS

 

 

SIGNS AND VARIATIONS OF TRIGONOMETRIC FUNCTIONS

 

 

EXACT VALUES FOR TRIGONOMETRIC FUNCTIONS OF VARIOUS ANGLES

 

 

GRAPHS OF TRIGONOMETRIC FUNCTIONS

y =  sinx                                                                                         y = cosx

 

 

y = tanx                                                                                          y = cotx

 

 

y = secx                                                                                          y = cscx

 

ADDITION FORMULAS

FUNCTIONS OF ANGLES IN ALL QUADRANTS IN TERMS OF THOSE IN QUADRANT I

 

RELATIONSHIPS AMONG FUNCTIONS OF ANGLES IN QUADRANT I

 

DOUBLE ANGLE FORMULAS

 

MULTIPLE ANGLE FORMULAS

 

SUM, DIFFERENCE AND PRODUCT OF TRIGONOMETRIC FUNCTIONS

 

INVERSE TRIGONOMETRIC FUNCTIONS

If x = sin y then y = sin-1x, i.e. the angle whose sine is x or inverse sine of x, is a many-valued function of x which is a collection of single-valued functions called branches. Similarly the other inverse trigonometric functions are multiple-valued.

For many purpose a particular branch is required. This is called the principal branch and the values for this branch are called principal values

 

PRINCIPAL VALUES FOR INVERSE TRIGONOMETRIC FUNCTIONS

 

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