**CALCULATOR **

**TECHNIQUES **

### THE MEMORY VARIABLES

**MEMORY ** **CALCULATOR BUTTONS **

A ALPHA (-)

B ALPHA O ‘ “

C ALPHA hyp

D ALPHA sin

E (ES PLUS only) ALPHA cos F (ES PLUS only) ALPHA tan

X ALPHA )

Y ALPHA S D

M ALPHA M+

### HOW TO CLEAR MEMORY

**• SHIFT 9 1 = **

**– This means you will automatically go to MODE 1 **

**• SHIFT 9 2 = **

**– All values stored in the memory variables will be **

**erased **

**• SHIFT 9 3 = **

**– This means you will automatically go to MODE 1 **

**and all values stored in the memory variables **
**will be erased. **

**MODE 1 : **

**GENERAL **

*Sec)*
*Min*
*(Degree*
*DMS*
*to*
*.*
*Convert*237 6150

**HOW TO CONVERT BETWEEN **

**DEGREES, RADIANS AND GRADIANS **

BASICS
"
54
'
36
237
237.615
:
0
O
*DISPLAY*

degrees. decimal to 47'12" 21 Convert 0

**HOW TO CONVERT BETWEEN **

**DEGREES, RADIANS AND GRADIANS **

BASICS
7
21.7866666
12
47
21
:
0
0
0
*DISPLAY*

.
1200 *to* *radians*
*Convert*

**HOW TO CONVERT BETWEEN **

**DEGREES, RADIANS AND GRADIANS **

BASICS
3
2
120
:
0
*DISPLAY*

degrees. to radians 2 π Convert

**HOW TO CONVERT BETWEEN **

**DEGREES, RADIANS AND GRADIANS **

BASICS

### 90

### 2

### :

r###

*DISPLAY*

system? centesimal in 120 is What 0

**PAST CE BOARD EXAM **

BASICS ENTER

### 3

### 400

### 20

### 1

### :

0*DISPLAY*

**HOW TO GET THE POLAR AND **

**RECTANGULAR COORDINATE OF A **

**POINT IN THE CARTESIAN PLANE **

BASICS

### 30993247

### .

### 56

### ,

### 211102551

### .

### 7

### )

### 6

### ,

### 4

### (

### :

###

###

###

###

###

*r*

*Pol*

*DISPLAY*

**PAST CE BOARD EXAM **

6). -(4, point the of coordinate polar the Find

**HOW TO GET THE POLAR AND **

**RECTANGULAR COORDINATE OF A **

**POINT IN THE CARTESIAN PLANE **

BASICS

**PAST ECE BOARD EXAM **

P(-3,-4) point the contains side terminal the if cos of value the Find

###

: Solution**HOW TO GET THE POLAR AND **

**RECTANGULAR COORDINATE OF A **

**POINT IN THE CARTESIAN PLANE **

BASICS

**PAST ECE BOARD EXAM **

8698976 . 126 , 5 ) 4 , 3 ( :

###

*r*

*Pol*

*DISPLAY*Y. to and X lly to automatica stored is r : NOTE

###

5 3 ) cos( : *Y*

*DISPLAY*

BASICS
).
(3,120
is
coordinate
polar
whose
point
a
of
coordinate
r
rectangula
the
Find
0
59807621
.
2
,
5
.
1
Rec(3,120)
:
DISPLAY
*Y*
*X*

**HOW TO SOLVE COMBINATION **

**AND PERMUTATION PROBLEMS. **

BASICS

**PAST ECE BOARD EXAM **

collinear?
are
which
of
three
no
points
distinct
10
by
formed
are
gles
many trian
How
10C3.
is
points
collinear
non
10
from
formed
be
can
that
triangles
of
number
The
:
Solution
120
3
10
:
DISPLAY
*C*

BASICS
contest?
essay
student
a
in
finalists
10
the
among
from
up
runner
first
the
and
winner
the
choose
judges
can the
ways
different
many
how
In
here
important
is
order
:
Note
time.
a
at
2
taken
finalists
10
are
There
:
Solution
90
2
10
:
DISPLAY
*P*

**HOW TO EVALUATE FACTORIAL **

**NUMBERS **

BASICS
### 10!

### of

### value

### the

### Find

3628800 ! 10 : DISPLAY### 6

### 5

### 3

### 3

### 6

*) if f(x) *

###

*x*

4 ###

*x*

2*-*

*x*

###

*(*

*Evaluate f*

**HOW TO EVALUATE **

**FUNCTIONS **

BASICS
3972
6
5
3
3
:
DISPLAY
2
4
*x*

*x*

*x*

3
2
2
2
3
2
3
4
,
3
,
4 *) if f(x* *y) * *x* *y* *x* *y-* *xy* *y*
*(*
*Evaluate f*

**HOW TO EVALUATE **

**FUNCTIONS **

BASICS
2. by x divided is 4 x 4x -2x 3x when remainder the Find 4 3 2

**PAST ME BOARD EXAM **

BASICS
*)*
*f(-remainder*
*,*
*x*
*x*
*-x*
*x*
*f(x)*
*Solution:*
2
4
4
2
3 4 3 2
18
4
4
2
3
:
DISPLAY
2
3
4
*x*
*x*
*x*
*x*

### 18

### Remainder

### :

### Answer

###

*?*
*x*
*-x*
*-x*
*x*
* of x*
*) a factor*
*Is (x* 3 6 6 5 8 4 6 3 9 2

**HOW TO EVALUATE **

**FUNCTIONS **

BASICS
2
3
4
5
6
9
6
8
6
of
factor
a
is
3
then x
0,
f(-3)
Since
:
*x*

*-x*

*-x*

*x*

*x*

*Conclusion*

**HOW TO USE THE ∑ SIGN **

BASICS
20
...
3
2
1
sum.
the
Find
### 210

### :

### DISPLAY

20 1*x*

*x*

###

### )

### 4

### (

### 5

### )

### 3

### (

### 4

*x*

*x*

*SOLVE*

###

###

###

**HOW TO SOLVE LINEAR **

**EQUATIONS **

?
,
9
,
2
,
4
),
2
2
(
7
*Y*
*of*
*value*
*the*
*is*
*what*
*A*
*and*
*D*
*X*
*Y*
*X*
*D*
*A*
*If*

**HOW TO SOLVE A **

**SPECIFIC VARIABLE **

BASICS
**HOW TO USE MULTILINE FUNCTION **

BASICS
12m.
8m,
6m,
are
sides
whose
triangle
a
of
area
the
Find
### :

### ENTER

**PAST EE BOARD EXAM **

2 c b a s c) -b)(s -a)(s -s(s A : Formula s Heron' Using : Solution

**HOW TO USE MULTILINE FUNCTION **

BASICS
### :

### ENTER

C) -B)(X -A)(X -X(X : 2 C B A X : DISPLAY **PAST EE BOARD EXAM **

13
2
C
B
A
X
:
DISPLAY
455
)
)(
)(
(
:
DISPLAY
*C*
*X*
*B*
*X*
*A*
*X*
*X*

**HOW TO USE LOGARITHMIC EQUATIONS **

BASICS
10
5)
(x
log
x
log
in
for x
Solve _{2}

_{2}

### :

### ENTER

**PAST ME BOARD EXAM **

### 0

### R

### -L

### 9

### 29.5975076

### X

### 10

### 5)

### (x

### log

### x

### log

### :

### DISPLAY

2 2###

###

###

###

###

BASICS

**HOW TO GET THE **

**DERIVATIVE AT A POINT **

.
3
when
3
of
derivative
the
Find *x*3

*x*2

*x*

### :

### ENTER

### 45

### )

### 3

### (

### :

### DISPLAY

3 2 3 ###

*x*

*X*

*X*

*dx*

*d*

**PAST ECE BOARD EXAM **

)
1
(
2
.
2
.
)
1
(
.
)
1
(
2
.
1
equation
the
ate
Differenti
2
2
2
2
*x*

*x*

*d*

*x*

*c*

*x*

*x*

*b*

*x*

*x*

*x*

*a*

*x*

*x*

*y*d. substitute is x of value same when choices the of value the to value this compare and 2 say x x, of any value at y ate Differenti : Technique

### :

### ENTER

8888888889 . 0 2 1 : DISPLAY 2 *x*

*x*

*x*

*dx*

*d*ADVANCE

**PAST ECE BOARD EXAM **

d.
substitute
being
is
x
of
value
the
as
choices
the
it to
Compare
:
Note
2
x
Substitute
)
1
(
2
) _{2}2

*x*

*x*

*x*

*a*

### :

### ENTER

8888888889 . 0 ) 1 ( 2 : DISPLAY 2 2 *x*

*x*

*x* 3 4 ) 1 ( . 4 2 . 3 2 ) 1 ( . : follows as summarized are 2 when x choices the of rest the of values The 2 2 2 2

*x*

*x*

*x*

*x*

*x*

*d*

*x*

*c*

*x*

*x*

*b* 2

_{2}) 1 ( 2 a. : Answer

*x*

*x*

*x*ADVANCE

### x

### 0

### 1 cos x

### lim

### sin x

###

###

**HOW TO GET THE LIMIT **

**OF A FUNCTION **

ADVANCE

### 0

### :

### Answer

**HOW TO GET THE LIMIT **

**OF A FUNCTION **

ADVANCE
### 3/7

### :

### Answer

### 3

### 3

### x

### 3x

### 4x

### 2

### lim

### 7x

### 5

###

###

###

###

BASICS

**HOW TO INTEGRATE **

###

2 1 5 ) 1 3 ( Evaluate*x*

*x*

*dx*

### :

### ENTER

### 16

### 1

### 3

### :

### DISPLAY

2 1 5*dx*

*x*

*x*

###

###

###

###

###

###

3 2_{2}xdx 4 x

_{} 2 1 C 4 x

_{} 2 x C 4 x 2 3 C 2 4 x

_{} 2 1 C 2 4 x

x x

### e

### dx

### e

###

### 1

###

###

###

###

###

###

###

2### .ln

### 1

### C. ln

### 1

### .ln

### 1

### D.ln

### 1

*x*

*x*

*x*

*x*

*A*

*e*

*C*

*e*

*C*

*B*

*e*

*C*

*e*

*C*

###

###

###

###

###

**MODE 2 : **

**COMPLEX NUMBER **

**CALCULATIONS **

**HOW TO SOLVE COMPLEX NUMBERS **

BASICS
### argument.

### the

### Find

### b.

### value.

### absolute

### the

### Find

### a.

### 4i

### -3

### z

### number

### complex

### For the

###

0 53.13 is argument the and 5 is value absolute The : Answer 13010235 . 53 5 4 3 : DISPLAY *i *

*r*

**HOW TO SOLVE COMPLEX NUMBERS **

BASICS
### product.

### the

### find

### 2i),

### 3i)(5

### -(2

### :

### Given

###

*i*

*i*

*i*11 16 ) 2 5 )( 3 2 ( : DISPLAY

### :

### ENTER

**HOW TO SOLVE COMPLEX NUMBERS **

BASICS
### 2i

### -5

### 3i

### 4

### :

### Simplify

###

*i*

*i*

*i*29 23 29 14 2 5 3 4 : DISPLAY

### :

### ENTER

**HOW TO GET THE COMPONENT OF A **

**FORCE AND RESULTANT OF FORCES **

BASICS
0
37
300N
F
force
the
of
components
y
and
x
the
Find
*i*
5445069
.
180
590635
.
239
37
300
:
DISPLAY
0

### :

### ENTER

N. 180.54 is component y the and N 239.5 is component x The : AnswerADVANCE
number?
imaginary
an
is
where
)
1
(
of
value
the
Find *i* 5 *i*

### :

### ENTER

**PAST CE/ECE BOARD EXAM **

2
3
)
1
(
)
1
(
as
Rewrite
:
Technique *i* *i*

### :

### ENTER

*i*

*i*

*i*4 4 ) 1 ( ) 1 ( : DISPLAY 2 3

**MODE 3 : **

**STATISTICAL AND **

**REGRESSION **

**HOW TO FIND THE MEAN AND **

**STANDARD DEVIATION **

BASICS
mean.
the
Find
hrs.
888
and
852,
840,
859,
867,
lasting
after
out
burned
bulbs
light
Five
2
.
861
:
DISPLAY
*x*888 5 852 4 840 3 859 2 867 1 : DISPLAY

*x*

BASICS

**PAST ME BOARD EXAM **

197
183
176
164
156
144
132
112
:
Data
deviation.
standard
the
determine
data,
l
statistica
following
Given the
ENTER
197
8
183
7
176
6
164
5
156
4
144
3
132
2
112
1
:
DISPLAY
*x*
21545346
.
26
x
:
DISPLAY

ADVANCE 10... 7, 4, n progressio arithmetic the of term 30 the Find th

### :

### ENTER

**PAST CE/ECE BOARD EXAM **

### :

### ENTER

7 2 2 4 1 1 y x : DISPLAY 91 Yˆ 0 3 : DISPLAY**If the first term of an arithmetic **

**progression is 3 and its tenth term is 39: **

**a. Find the fourth term **

ADVANCE term. 8 the Find 1944. is 6th term the and 216 is GP the of term 4 The th th