Your Practice Paper – Analysis and Approaches SL for IBDP Mathematics
� Properties of a general trigonometric function y � Asin B( x �C) � D :
1 . |
ymax
� ymin
A
�
: Amplitude
2
|
2 . |
2�
B
� Period
|
3 . |
ymax
� ymin
D
�
2
|
4 . |
C can be found by substitution of a point on the graph |
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2-D Trigonometry
� Consider a triangle ABC : sin A sin B a b
1 . � or � : Sine rule a b sin A sin B Note : The ambiguous case exists if two sides and an angle are known , and the angle is opposite to the shorter known side
2 .
3 .
b �c �a � � � or cos A �
2bc
1 absin
C : Area of the triangle ABC
2
2 2 2 a b c 2bc cos A
2 2 2
: Cosine rule
x yrad
� � : Method of conversions between degree and radian 180 � rad
� Consider a sector OPRQ with centre O , radius r and �POQ � � in radian : 1 . r� : Arc length PQ
2 .
3 .
1 2 r � : Area of the sector OPRQ 2
1 2
( sin ) 2 r � � � : Area of the segment PRQ
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