Analysis and Approaches for IBDP Maths Ebook 2 | Page 74

Your Practice Set – Analysis and Approaches for IBDP Mathematics
�
2. The function f is defined by f ( x) �2 arcsin x � .
6
(a) Find the largest possible domain of f .
(b)
Find
f
1 ( x)
.
3. (a) It is given that
(b)
�
Hence, find the value of
4. (a) It is given that
1 1 1
arctan arctan arctan
m � 3 � 7
, m �
� . Find the value of m .
1 1
2arctan � arctan .
3 7
1 1 1
arctan arctan arctan
r � 5 � 7
, r �
� . Find the value of r .
(b) Hence, express arctan 5� arctan 7 in terms of
1
arctan r
.
[3]
[3]
[3]
[3]
[3]
[2]
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