Trigo

[pic 1]

JAN  INTAKE                   COMMON TEST 1  2011  (Mr Lee)                                        [pic 2]

Q1.

 [pic 3]        [pic 4][pic 5]

Given the graphs above, graph L  and graph M,  state the equation of each graph in the form of   [pic 6]                                                                ( 3 marks )

Q2.

Given  [pic 7]  and   [pic 8], find the exact values of

1. [pic 9]                                                                        ( 2 marks )
2. [pic 10]                                                                ( 2 marks )
3. [pic 11]                                                                        ( 1 mark )

Q3.

Let  [pic 12] .

1. Show   that  [pic 13] is an odd function.                                        ( 2 marks )

1. Sketch  [pic 14] for  [pic 15]  and  [pic 16].                        ( 4 marks )

1. For [pic 17], give two exact  values of  [pic 18] if  [pic 19]                ( 3 marks )

Q4.

Given that    and    such that    and   0[pic 20][pic 21][pic 22][pic 23]

Without using a calculator, find the value of                          ( 6 marks )[pic 24]