Analysis and Approaches for IBDP Maths Ebook 2 | Page 166
Your Practice Set – Analysis and Approaches for IBDP Mathematics
�4�
�
cos�
� cos � ����
0
� 3 �
By considering the graph of
�4�
�
y � cos�
� cos � ���
� 3 � , �
� � or
23
5�
� � (Rejected).
3
By the first derivative test,
M1A1
2�
2�
2�
� 0 ��
� � � ��
� �
3 3 3
dA
� 0 �
d�
2�
Thus, A attains its maximum at � � . R1
3
The maximum area of OCDA
1 2 1 4 2
sin
� �
sin
� � �
� � � � �
2 3 2 � 3 3 �
3
� A1
2
(iii)
2�
� � A1
3
(iv)
3 3
� A � A2
4 2
[12]
Exercise 50
1. In the figure, ABP and PCD are right-angled triangles. BPC is a straight line. It is
given that AB � 4 , BP � x , PC �11� x and APB ˆ � � .
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