Apps. and Interpretation for IBDP Maths Ebook 1 | Page 154

Your Practice Set – Applications and Interpretation for IBDP Mathematics
Chapter
13
2-D Trigonometry
SUMMARY POINTs
� Consider a triangle ABC :
1.
2.
3.
sin A sin B a b
� or � : Sine rule
a b sin A sin B
2 2 2
a � b � c � 2bc cos A
2 2 2
b �c �a
or cos A �
: Cosine rule
2bc
1
absin
C : Area of the triangle ABC
2
� Consider a sector OPQ with centre O , radius r and �POQ � � :
�
2� r �
360
�
360
: Arc length PRQ
2
� r � : Area of the sector OPQ
�r
� 1
� � r sin�
: Area of the segment PRQ
360 2
2 2
Solutions of Chapter 13
144
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