Analysis and Approaches for IBDP Maths Ebook 2 | Page 77

4. The function f and g are defined by
� � � �
x� � � , � \{0} .
� 2 2�
2
f ( x) x cosec2x
� and g( x) � tan x ,
(a)
Show that f is an odd function.
� � � �
Let h( x) � g f ( x)
, x� � � , � \{0} . It is given that h( �1.1)
� r, where r is a
� 2 2�
constant.
(b) Express h (1.1) in terms of r .
[2]
[3]
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