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 � � . 156 SE Production Limited