Trigonometric Functions
 

 

 

Contents

 

Trigonometric Functions

 

Basic Functions

 

Reciprocal Functions

 

Inverse Functions

 

Scaling

 

Translation

 

Reflection

 

Quiz

 

Geometry Main Page 

Quiz
Graphs of Trigonometric Functions
 
 
Sketch the curves of:
        (i)   y = 1.5 + 0.5 | cos x |                                       Answer
        (ii)  y = 1 + 3 | sin 2x |                                           Answer
        (iii) y = 2 - 2 | cos 2x |                                            Answer
 
Sketch the graph of the function
             f(x) = 2 |cos (x + p/2)|
       for the domain .                                      Answer
 
Sketch the curve y = |1 + 3 sin 2x| for values of x between 0 and p inclusive.
   State the range of values of y in this domain. 
   By adding a suitable line to the same diagram, state, for the above domain, the number of solutions to the equation
                         p |1 + 3 sin2x| = 4 (p - x)                      Answer
 
Sketch the curve y = 2 + 2 sin x for the domain
               
    By sketching a suitable straight line on the same axes, state the number of roots to the equation
                        3p sin x + 4x = 3p                                                  Answer