Analysis and Approaches HL Practice Paper Book | Page 27

� Properties of graphs of inverse trigonometric functions :
1 .
�1� x
1
2 .
� arcsin x
2
2
1 .
�1� x
1
2 .
0
�arccos x
1 .
x�
2 .
� arctan x
2
2
� Symmetric properties of trigonometric functions : 1 . sin ( �x) � �sin x � cosec ( �x) � � cosecx
2 . cos ( �x) � cos x � sec ( �x) � sec x
3 . tan ( �x) � �tan x � cot ( �x) � � cot x
� Compound angle formula : 1 . sin ( A� B) � sin Acos B � cos Asin
B
2 . sin ( A� B) � sin Acos B � cos Asin
B 3 . cos ( A� B) � cos Acos B � sin Asin
B
4 . cos ( A� B) � cos Acos B � sin Asin
B
5 .
6 .
tan A� tan B tan ( A�B) � 1 tan Atan
B tan A� tan B tan ( A�B) � 1 tan Atan
B
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