Analysis and Approaches for IBDP Maths Ebook 1 | Page 106

Your Practice Set – Analysis and Approaches for IBDP Mathematics
1
cos x � A1
2
�
x � A1 N3
4
[5]
Exercise 36
1. (a)
�
Show that � cos 2 x� log
2 � cos 2 x
49 � � � log7
.
� 6 �
6
(b)
�2 � cos 2x
�
Solve log7 cos x � log49
� �
� 6 � for 0 �
� x � .
2
2. (a) Show that log
4
2cos 2x� log
2
2cos 2x.
(b)
�
Solve 1� log
2
sin x� log
4
2cos 2x
for 0 � x � .
2
[3]
[5]
[3]
[6]
3. (a) Show that 1 � 2log cos log 3 cos
81
x� 9
x.
4
(b) Solve 1 �
� 2log cos log sin 2
81
x� 9
x for � x � � .
4
2
[4]
[4]
4. (a) Show that
log
27
sin 2 log sin 2x
1
3 3 6
x �
3 � .
[4]
(b)
Solve
log3
sin 2x
1
� � log27
sin x for 3 �
� x � 2�
.
3 6
2
[4]
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