Casio Classpad’s (fx-CP400) Hidden Shift Functions

fx-CP400 Keyboard

Hidden Shift Functions

When I was giving a quick review of the Classpad’s fx-CP400 last March (http://edspi31415.blogspot.com/2016/03/a-quick-look-at-casio-classpad-fx-cp400.html), I mentioned that I would have liked the basic scientific functions assigned and listed on the keyboard.  It turns out that most of the keys have shifted functions.  The reason why they are not listed is because the shifted functions can be customized.  Here are the default shift settings:

COPY	CUT		PASTE		UNDO		√[ ]		[ ] / [ ]
=	x		y		z		^		÷
T
(		7		8		9		*
θ		e^[ ]		ln(		log[ ]
)		4		5		6		-
|  with		sin(		cos(		tan(
,		1		2		3		+
=> store		π		i		∞		ans
(-)		0		.		EXP		EXE

To assign (or clear) keyboard assignments: 

1.  Press Menu

2.  Select System (2^nd page)

3.  On the top row of icons, select the (Shift) icon.  (first set, farthest right)

4.  Select a key.  To assign a function, select the box next to [ Set ].  Call up the keyboard if needed.  When are you ready, press [ Set ].

5.  You can clear a key by pressing [ Clear ].

6. To return to default settings, press [ Default ].

7.  When you are done with the keyboard settings, press [ OK ]. 

8.  Test your settings by going to the Main screen.

This is also shown on pg. 247 of the Casio Classpad II manual.

Here is my customized keyboard.  I made a keyboard on an index card and keep it with the Classpad.  It is great because we can easily call up commonly used functions without having to hunt through the soft keyboard.  For mine, I just kept the defaults and added some other basics to the missing keys (they are in green for reference):

COPY	CUT		PASTE		UNDO		√[ ]		[ ] / [ ]
=	x		y		z		^		÷
t		sinˉ¹(		cosˉ¹(		tanˉ¹(		{ }
(		7		8		9		*
θ		e^[ ]		ln(		log[ ]		abs(
)		4		5		6		-
|  with		sin(		cos(		tan(		arg(
,		1		2		3		+
=> store		π		i		∞		ans
(-)		0		.		EXP		EXE

This blog is property of Edward Shore, 2016.

HP Prime: Trigonometric CAS Rewrite Commands

HP Prime:  Trigonometric CAS Rewrite Commands

All of the following examples have CAS Simplification set to Minimum.

Rewrites of Arcsine and Sine

asin2acos	Toolbox → 4. Rewrite → 5. Sine → 1. asin x → acos x	asin2acos(2*asin(x)) returns 2*(-acos(x) + π/2)
asin2atan	Toolbox → 4. Rewrite → 5. Sine → 2. asin x → atan x	asin2atan(2*asin(x)) returns 2*(atan(x/√(-x^2+1))
sin2costan	Toolbox → 4. Rewrite → 5. Sine → 3. sin x → cos x tan x	sin2costan(2*sin(x)^2) returns 2*(cos(x)*tan(x))^2

Rewrites of Arcosine and Cosine

acos2asin	Toolbox → 4. Rewrite → 6. Cosine → 1. acos x → asin x	acos2asin(acos(x*π/2)) returns -asin(1/2*π*x)+π/2
acos2atan	Toolbox → 4. Rewrite → 6. Cosine → 2. acos x → atan x	acos2atan(acos(x*π/2)) returns -atan( (1/2*π*x)/ (√(1/4) – √(-(π*x)^2+4) )+π/2
cos2sintan	Toolbox → 4. Rewrite → 6. Cosine → 3. cos x → sin x/tan x	cos2sintan(2*cos(x)^2) Returns 2*(sin(x)/tan(x))^2

Rewrites of Arctangent and Tangent

atan2asin	Toolbox → 4. Rewrite → 7. Tangent → 1. atan x → asin x	atan2asin(atan(x/3)) returns asin( (x/3) / (√(1/9)*√(x^2+9)) simplify gets asin( (x*√(x^2+9)) / (x^2+9) )
atan2acos	Toolbox → 4. Rewrite → 7. Tangent → 2. atan x → acos x	atan2acos(atan(x/3)) returns -acos( (x/3) / (√(1/9)*√(x^2+9))+π/2 simplify gets ( (π-2*acos( (x*√(x^2+9))/(x^2+9) )/2
tan2sincos	Toolbox → 4. Rewrite → 7. Tangent → 3. tan x → sin x/cos x	tan2sincos(tan(2*x)) returns sin(2*x)/cos(2*x)
halftan (sin x, cos x, tan x) → tan(x/2)	Toolbox → 4. Rewrite → 7. Tangent → 4. halftan	halftan(cos(2*x)) returns (-tan(x)^2+1)/ (tan(x)^2+1)

Other Commands

tlin (trigonometric form of powers) → (trigonometric form of linearized terms)	Toolbox → 4. Rewrite → 8. Trig → 5. tlin	tlin(cos(2*x)^2) returns 1/2*cos(4*x)+1/2
trig2exp (sin x, cos x, tan x) → (exponential form with complex exponentials)	Toolbox → 4. Rewrite → 8. Trig → 8. trig2exp	trig2exp(sin(x/3)) returns 1/(2*i) * (e^(i*x/3) – 1/e^(i*x/3))
atrig2ln (asin x, acos x, atan x) → (logarithm form with complex exponentials)	Toolbox → 4. Rewrite → 8. Trig → 4. atrig2ln	atrig2ln(asin(x/3)) returns i*ln(√(1/9)*√(x^2-9)+x/3)+π/2

That is a list of basic CAS commands for trigonometric rewrites. 

Eddie

This blog is property of Edward Shore, 2016.

HP Prime and TI-84 Plus CE: Simpson’s Rule

HP Prime and TI-84 Plus CE:  Simpson’s Rule

Caption:  The Simpson’s Rule applied on ∫ X^2*e^X dx from X = 1 to 4

Actual value:  543.2632185

The program SIMPRULE approximates the integral of f(X)

∫ f(X) dX = h/3 * ( f(a) + 2*Σf(x_E) + 4*∑f(x_O) + f(b) )

Where:

a = the lower limit

b = the upper limit

n = the number of intervals, n is even

h = (b – a)/n

x_E = a + h*I where I is from 1 to n-1 and I is even

x_O = a + h*I where I is from 1 to n-1 and I is odd

HP Prime Program:  SIMPRULE

EXPORT SIMPRULE()

BEGIN

// EWS 2016-06-05

HAngle:=0; // Radians

LOCAL f;

INPUT({{f,[8]},A,B,N},

"Simpson Rule",

{"f(X)=","Low:","High:",

"Intervals (Even):"});

H:=(B-A)/N;

X:=A; T:=EVAL(f);

X:=B; T:=EVAL(f)+T;

FOR I FROM 1 TO N-1 DO

X:=A+I*H;

IF FP(I/2)==0 THEN

T:=2*EVAL(f)+T;

ELSE

T:=4*EVAL(f)+T;

END;

END;

T:=T*H/3;

RETURN T;

END;

TI-84 Plus CE Program:  SIMPRULE

Radian:Func

Input "LOW:",A

Input "HIGH:",B

Input "N (EVEN):",N

(B-A)/N→H

A→X:Y₁→T

B→X:Y₁+T→T

For(I,1,N-1)

A+I*H→X

If fPart(I/2)=0

Then

2*Y₁+T→T

Else

4*Y₁+T→T

End

End

T*H/3→T

Disp "INTEGRAL=",T

Examples:

Example 1:

∫ cos^2 X dX from X = 0 to X = π, n = 14

Approximation:  1.570796327

Example 2:

∫ X^2 + 3*X – 6 dX from X = 1 to X = 3, n = 14

Approximation: 8.66666667

Eddie

Source:

Burden, Richard L. and Faires, J. Douglas.  “Numerical Analysis” 8^th Ed.  Thompson Brooks/Cole:  Belmont, CA. 2005

This blog is property of Edward Shore, 2016.