203.sagews

2.2

SAGE: /b>
, .

1. A>
2. .
3.
4. .
5.

1. . /b> GE , . .

+ - ;
- - ;
* -
/ - ;
^ - .
( ) , , . (

2.2.1. : $(5-2)(5+2)$.

(5-2)*(5+2)

21

2.2.2. : $\frac{5-2}{5+2}$.

(5-2)/(5+2)

3/7

2.2.3. : $(5.1-2.1)(3.9+2.1)$.

(5.1-2.1)*(3.9+2.1)

18.0000000000000

2.2.4. : ${2}^{3}-17$.

2^3-17

-9

2.2.5. : ${3}^{4-1}+5$.

3^(4-1)+5

32

:

• i>Back Space;
• i>Delete.

2. .

abs(x)	|x|	)
sqrt(x)	$\sqrt{x}$
factorial(n)	n!	(n!=1∙2∙3∙...∙n)
sin(x)	sin x	tr>	cos(x)	cos x	tr>	tan(x)	tg x
cot(x)	ctg x
asin(x)	arcsin x	tr>	acos(x)	arccos x	tr>	atan(x)	arctg x
acot(x)	arcctg x

2.2.6. : $|-(-7)|$.

abs(-(-7))

7

2.2.7. : $5!$.

factorial(5)

120

2.2.8. : $\sqrt{2}$.

sqrt(2)

sqrt(2)

\sqrt{2}$ float() RR().

float(sqrt(2))

1.4142135623730951

RR(sqrt(2))

1.41421356237310

2.2.9. : $\sin{2}$.

sin(2)

sin(2)

RR(sin(2))

0.909297426825682

3. >print. ,".

print "Answer:"

Answer:

print "cos(15)=",float(cos(15))

cos(15)= -0.759687912859

. SAGE , ).

2.2.10. sin, cos, tg, ctg \alpha = \frac{\pi}{4}$. .

print "sin(pi/4)=", float(sin(pi/4))
print "cos(pi/4)=", float(cos(pi/4))
print "tg(pi/4)=", float(tan(pi/4))
print "ctg(pi/4)=",  float(cot(pi/4))

sin(pi/4)= 0.707106781187 cos(pi/4)= 0.707106781187 tg(pi/4)= 1.0 ctg(pi/4)= 1.0

i>i>.

4. . . "=". .

2.2.11. $d^2-14$, $d=3$.

d=3
d^2-14

-5

2.2.12. $a^2-b^2$, $a=33$, $b=27$.

a=33; b=27
a^2-b^2

360

, i> /i>. var(),

var('s,t')
s=2
s+t

t + 2

,

var('x')
sqrt(x^2+y^2)

Traceback (most recent call last): File "<stdin>", line 1, in <module> File "/home/notebook/sage_notebook/worksheets/admin/59/code/39.py", line 7, in <module> exec compile(ur'sqrt(x**Integer(2)+y**Integer(2))' + '\n', '', 'single') File "/usr/local/sage/local/lib/python2.5/site-packages/sympy/plotting/", line 1, in <module> NameError: name 'y' is not defined

var('x,y'); sqrt(x^2+y^2)

(x, y) sqrt(y^2 + x^2)

;".

5. i>/i>

2.2.13. $a^3-b^3$, :
1) $a=3$, $b=2$;
2) $a=2.1$, $b=1.3$.

var('a,b')
func(a,b)=a^3-b^3

func(3,2)

19

func(2.1,1.3)

7.06400000000000