Analysis and Approaches SL Practice Paper Book | Page 20

Your Practice Paper – Analysis and Approaches SL for IBDP Mathematics

9

Coordinate Geometry

� Consider the points P( x1, y

1) and Q( x2, y

2) on a x - y plane : y2 � y1

1 . m � : Slope of PQ x � _x

2 1

2 2

2 . d � ( x � x ) � ( y � y ) : Distance between P and Q

2 1 2 1

1 2 1 2

3 .

� ^x � ^x , ^y � ^y � �

�: The mid-point of PQ � 2 2 �

� Forms of straight lines with slope m and y -intercept c :

1 . y �mx � c : Slope-intercept form 2 . Ax � By �C

� 0 : General form

� Ways to find the x -intercept and the y -intercept of a line : 1 . Substitute y � 0 and make x the subject to find the x -intercept 2 . Substitute x � 0 and make y the subject to find the y -intercept

10 ^Trigonometry

� Trigonometric identities : 1 . 2 . sin� tan�

� cos�

2 2 sin � �cos � � 1

� Double angle formula : 1 . sin 2� � 2sin� cos� 2 .

cos 2 2cos 1 1 2sin cos sin

2 2 2 2

� � � � � � � � � � � 2 tan�

3 . tan 2� �

2

1 _� tan �

8

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