2. Equation Numbering
• The equation numbering commands allow you to insert
equation numbers in a Word document in a variety of
formats. You can also insert references to these
numbers; both numbers and references are
automatically updated whenever you add new equation
numbers to the document. Equation references can also
be placed in footnotes and endnotes.
• The equation numbers are quite separate from equations
in a Word document; if you delete an equation its
equation number (if any) is not automatically deleted.
Similarly, an equation reference is actually a reference to
an equation number, rather than a reference to the
equation itself.
3. Differentiate the following with respect to x
( ) ( )
( )
( ) ( )
( ) ( )
2
1 sin
log
1 sin
1 sin
let log
1 sin
log(1 sin ) log(1 sin )
log 1 sin log 1 sin
1 1
cos cos
1 sin 1 sin
cos 1 sin cos 1 sin
1 sin 1 sin
cos cos sin cos cos sin
1 sin
x
x
x
y
x
x x
dy d d
x x
dx dx dx
x x
x x
x x x x
x x
x x x x x x
+
−
+
= ÷
−
= + − −
= + − −
= − − ÷ ÷
+ −
− + +
=
+ −
− + +
=
−
2
2cos
2sec
1 sin
x
x
x
x
= =
−
12. Status Bar
When you move the mouse pointer in the
MathType Window the Status Bar Display
changes temporarily
The Mouse Pointer is on the Matrix Template
The Status Bar text is -
13. Status Bar
By right clicking on the status bar, You
can customise it temporarily
Color slot is right clicked.
Blue color is set.
Color of the equation is blue
14. Status Bar
What you should next
At Times it tells you -
Work, it has carried out
18. MathType Window and Equation
• Typing the Equation
• Editing the equation
• Spacing and Alignment
• Formatting with Tabs
• Text in Equation
• Inserting a Template in an Empty Slot
• Customising ToolBars
• Add Special Symbols to Equation Editor
37. Typing the Equation
• Open MS Word
• Click the Insert Display Equation
• MathType Window opens
• Type the equation using the proper
templates
• Remember Your spacebar is inactive
38. Typing the Equation
• Editor knows where to leave space
• Editor knows what are variables
• Editor knows what are texts
39. Editing the Equation
• Editing arises –
• When you commit a mistake
• When you try to modify an equation
• When you try to use a segment of an
equation in another place
44. Editing the Equation
2 2 21
1 1
1
n
x n
i
x nxσ
=
= −
∑
2 2 21
1 1
1
n
x n
i
x nxσ
=
−
∑
You haven’t put = sign
Type = sign
45. Editing the Equation
( ) 31
4 4
2
4 1
2 3
x
I dx
x x
+ +
=
+ −
∫
( ) 31
2 5
2
4 1
7
x
I dx
x x
+ +
=
+ −
∫
There are only a few differences between the
two equations
46. Editing the Equation
( )( )
( ) ( )
2 22 2
n xy x y
r
n x x n y y
−
=
− −
∑ ∑ ∑
∑ ∑ ∑ ∑
( )( )
( ) ( )
2 22 2
n xy x y
r
n x x n y y
−
=
− −
∑ ∑ ∑
∑ ∑ ∑ ∑
Select & Copy
Paste & Edit
47. Editing the Equation
• Press the Tab Key to move in the
clockwise direction to different positions or
Slots
• Press Shift + Tab Key to move in the anti-
clockwise direction
• If you notice slating lines across your
equation - you haven’t come out of the
Math Window after editing
49. Spacing and Alignment
( ) ( )
( ) ( ) ( )
1
0
1
0
lim
limsup ,
a
n
n
n
a x dx a
a x b x dx a b
φ
ψ
→∞
→∞
≤
≤
∫
∫
50. Spacing and Alignment
( ) ( )
( ) ( ) ( )
1
0
1
0
lim
limsup ,
a
n
n
n
a x dx a
a x b x dx a b
φ
ψ
→∞
→∞
≤
≤
∫
∫
51. Spacing and Alignment
( ) ( )
( ) ( ) ( )
1
0
1
0
limsup
limsup ,
n
n
n
n
a x dx a
a x b x dx a b
φ
ψ
→∞
→∞
≤
≤
∫
∫
Type the First Equation – Choose the Align at =
sub menu from the Format Menu – Type the
Second Equation
65. Click in this area
Exactly Here in this case
A Left justification is made.
66. If you want
Right Justification at x
You can go for a Right Justification
By creating Tab Marks
Just at the beginning of the
expressions
( )
1
9.76 when n is even
14.3 when n is add
k
n
x
c x
x
+
=
68. Click in this area
Exactly Here in this case
A Right justification is made.
69. If you want decimal point
justification
You can go for decimal Justification
By creating Tab Marks
Just at the beginning of the
expressions
( )
1
9.76 when n is even
14.3 when n is add
k
n
x
c x
x
+
=
71. Click in this area
A Decimal justification is made.
Exactly here in this case
72. ( )
1
9.76 when is even
14.3 when is add
k
n
x n
c x
x n
+
=
Formatting With Tabs
73. ( ) { 1
9.76 when is evenn kc x x n= +
Formatting With Tabs
74. ( ) { 1
9.76 when is evenn kc x x n= +
Formatting With Tabs
75. ( )
1
9.76 when is even
14.3 when is add
k
n
x n
c x
x n
+
=
Formatting With Tabs
76. ( )
1
9.76 when is even
14.3 when is add
k
n
x n
c x
x n
+
=
Formatting With Tabs
77. ( )
1
9.76 when is even
14.3 when is add
k
n
x n
c x
x n
+
=
Formatting With Tabs
78. Text in Equation
( )
( )
( )
Prob Probability that and occur
Prob /
Prob Probability that occurs
A B
A B
B
∩
= =
both A B
B
( )
( )
( )
Pr Pr
Pr /
Pr Pr
ob obability that both and occur
ob
ob obability that occurs
∩
= =
A B A B
A B
B B
Keep Typing inserting Templates and
creating spaces using Ctrl + Space Bar
79. Text in Equation
( )
( )
( )
Prob Probability that and occur
Prob /
Prob Probability that occurs
A B
A B
B
∩
= =
both A B
B
( )
( )
( )
Pr Pr
Pr /
Pr Pr
ob obability that both and occur
ob
ob obability that occurs
∩
= =
A B A B
A B
B B
Before Typing these characters
Press Ctrl + B
80. Text in Equation
( )
( )
( )
Prob Probability that and occur
Prob /
Prob Probability that occurs
A B
A B
B
∩
= =
both A B
B
( )
( )
( )
Pr Pr
Pr /
Pr Pr
ob obability that both and occur
ob
ob obability that occurs
∩
= =
A B A B
A B
B B
All other Characters as variables
It assumes Pr as Probability Function
81. Text in Equation
( )
( )
( )
Prob Probability that and occur
Prob /
Prob Probability that occurs
A B
A B
B
∩
= =
both A B
B
( )
( )
( )
Pr Pr
Pr /
Pr Pr
ob obability that both and occur
ob
ob obability that occurs
∩
= =
A B A B
A B
B B
82. Text in Equation
( )
( )
( )
Prob Probability that and occur
Prob /
Prob Probability that occurs
A B
A B
B
∩
= =
both A B
B
( )
( )
( )
Pr Pr
Pr /
Pr Pr
ob obability that both and occur
ob
ob obability that occurs
∩
= =
A B A B
A B
B B
83. Text in Equation
( )
( )
( )
Prob Probability that and occur
Prob /
Prob Probability that occurs
A B
A B
B
∩
= =
both A B
B
( )
( )
( )
Pr Pr
Pr /
Pr Pr
ob obability that both and occur
ob
ob obability that occurs
∩
= =
A B A B
A B
B B
84. Inserting a Template in
an Empty Slot
( ) ( ) 11 12
21 22
det
a a
p b
a a
λ
λ λ
λ
− −
= − = ÷
− −
I A
104. We have two basic equations now :
2 2
cos sin 1 (1.1)θ θ+ =
2 2 2
cos sin cos 2 (1.2)θ θ θ− =
Subtracting (1.2) from (1.1) gives
( )1
2sin 1 cos 2 (1.3)θ θ= −
Using (1.3) we can show that
2
cos 2 1 sin 2θ θ= −
136. We have two basic equations now :
2 2
cos sin 1 (1.1)θ θ+ =
2 2 2
cos sin cos 2 (1.2)θ θ θ− =
Subtracting (1.2) from (1.1) gives
( )1
2sin 1 cos 2 (1.3)θ θ= −
141. We have two basic equations now :
2 2
cos sin 1 (1.1)θ θ+ =
2 2 2
cos sin cos 2 (1.2)θ θ θ− =
Subtracting (1.2) from (1.1) gives
( )1
2sin 1 cos 2 (1.3)θ θ= −
Using
143. We have two basic equations now :
2 2
cos sin 1 (1.1)θ θ+ =
2 2 2
cos sin cos 2 (1.2)θ θ θ− =
Subtracting (1.2) from (1.1) gives
( )1
2sin 1 cos 2 (1.3)θ θ= −
Using (1.3)
145. We have two basic equations now :
2 2
cos sin 1 (1.1)θ θ+ =
2 2 2
cos sin cos 2 (1.2)θ θ θ− =
Subtracting (1.2) from (1.1) gives
( )1
2sin 1 cos 2 (1.3)θ θ= −
Using (1.3) we show that
146. Choose either Insert
Inline Equation button on
the MathType Tool Bar or
Choose the sub menu
Insert Inline Equation
from the MathType Menu
149. We have two basic equations now :
2 2
cos sin 1 (1.1)θ θ+ =
2 2 2
cos sin cos 2 (1.2)θ θ θ− =
Subtracting (1.2) from (1.1) gives
( )1
2sin 1 cos 2 (1.3)θ θ= −
Using (1.3) we can show that
2
cos 2 1 sin 2θ θ= −
152. We have two basic equations now :
2 2
cos sin 1 (1.1)θ θ+ =
153. We have two basic equations now :
2 2
cos sin 1 (1.1)θ θ+ =
2 2 2
cos sin cos 2 (1.2)θ θ θ− =
154. We have two basic equations now :
2 2
cos sin 1 (1.1)θ θ+ =
2 2 2
cos sin cos 2 (1.2)θ θ θ− =
Subtracting
155. We have two basic equations now :
2 2
cos sin 1 (1.1)θ θ+ =
2 2 2
cos sin cos 2 (1.2)θ θ θ− =
Subtracting (1.2)
156. We have two basic equations now :
2 2
cos sin 1 (1.1)θ θ+ =
2 2 2
cos sin cos 2 (1.2)θ θ θ− =
Subtracting (1.2) from
157. We have two basic equations now :
2 2
cos sin 1 (1.1)θ θ+ =
2 2 2
cos sin cos 2 (1.2)θ θ θ− =
Subtracting (1.2) from (1.1)
158. We have two basic equations now :
2 2
cos sin 1 (1.1)θ θ+ =
2 2 2
cos sin cos 2 (1.2)θ θ θ− =
Subtracting (1.2) from (1.1) gives
159. We have two basic equations now :
2 2
cos sin 1 (1.1)θ θ+ =
2 2 2
cos sin cos 2 (1.2)θ θ θ− =
Subtracting (1.2) from (1.1) gives
( )1
2sin 1 cos 2 (1.3)θ θ= −
160. We have two basic equations now :
2 2
cos sin 1 (1.1)θ θ+ =
2 2 2
cos sin cos 2 (1.2)θ θ θ− =
Subtracting (1.2) from (1.1) gives
( )1
2sin 1 cos 2 (1.3)θ θ= −
Using
161. We have two basic equations now :
2 2
cos sin 1 (1.1)θ θ+ =
2 2 2
cos sin cos 2 (1.2)θ θ θ− =
Subtracting (1.2) from (1.1) gives
( )1
2sin 1 cos 2 (1.3)θ θ= −
Using (1.3)
162. We have two basic equations now :
2 2
cos sin 1 (1.1)θ θ+ =
2 2 2
cos sin cos 2 (1.2)θ θ θ− =
Subtracting (1.2) from (1.1) gives
( )1
2sin 1 cos 2 (1.3)θ θ= −
Using (1.3) we show that
163. We have two basic equations now :
2 2
cos sin 1 (1.1)θ θ+ =
2 2 2
cos sin cos 2 (1.2)θ θ θ− =
Subtracting (1.2) from (1.1) gives
( )1
2sin 1 cos 2 (1.3)θ θ= −
Using (1.3) we can show that
2
cos 2 1 sin 2θ θ= −
166. We have two basic equations now :
2 2
cos sin 1 (1.1)θ θ+ =
2 2 2
cos sin cos 2 (1.2)θ θ θ− =
Subtracting (1.2) from (1.1) gives
( )1
2sin 1 cos 2 (1.3)θ θ= −
Using (1.3) we can show that
2
cos 2 1 sin 2θ θ= −
167. Just below the equation (1.2), we
are going to add -
Adding these two together, we obtain
( )2 1
2cos 1 cos 2 (1.3)θ θ= +
- and obtain
168. We have two basic equations now :
2 2
cos sin 1 (1.1)θ θ+ =
2 2 2
cos sin cos 2 (1.2)θ θ θ− =
Subtracting (1.2) from (1.1) gives
( )1
2sin 1 cos 2 (1.4)θ θ= −
Using (1.4) we can show that
2
cos 2 1 sin 2θ θ= −
Adding these two together, we obtain
( )2 1
2cos 1 cos 2 (1.3)θ θ= +
169. Open the page and just below the
(1.2) equation type the text-
Adding these two together, we
obtain
170. We have two basic equations now :
2 2
cos sin 1 (1.1)θ θ+ =
2 2 2
cos sin cos 2 (1.2)θ θ θ− =
Subtracting (1.2) from (1.1) gives
( )1
2sin 1 cos 2 (1.4)θ θ= −
Using (1.4) we can show that
2
cos 2 1 sin 2θ θ= −
Adding these two together, we obtain
176. Click the Close Button on the right
top corner
MathType asks
Click Yes button
177. We have two basic equations now :
2 2
cos sin 1 (1.1)θ θ+ =
2 2 2
cos sin cos 2 (1.2)θ θ θ− =
Subtracting (1.2) from (1.1) gives
( )1
2sin 1 cos 2 (1.4)θ θ= −
Using (1.4) we can show that
2
cos 2 1 sin 2θ θ= −
Adding these two together, we obtain
( )2 1
2cos 1 cos 2 (1.3)θ θ= +