Analysis and Approaches SL Practice Paper Book | Seite 130

8 . Let π π f ( x) �sin ^� � x ^� � �cos

^� � x ^�

�, for 0 12 � 6 � � 6 � ^�x ^� ^.

( a ) Find the range of values of x where the function is

( i ) increasing ;

( ii ) decreasing .

( b ) The function f can also be written in the form where a� , and �6� h � 0. Find the value of

[ 5 ]

�π � f ( x) �asin � ( x �h) �

�6

� ^,

( i ) a ;

( ii ) h . [ 7 ]