Алгебра 9кл_Макарычев_1999_Решения задач 642-836_copy
TRANSCRIPT
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),()(),()(,)(
)()(
] xgxgxfxfxg
xfxy === a g Z q b l m ( o )=
;)()(
)(
)(
)(xy
xg
xf
xg
xf=
=
= y(x) q _ l g Z y n m g d p b y
642.
= j Z n b d h f n m g d p b b
2)( = xxf [ m ^ _ l i j y f Z y o
0 1
m -2 -1
= j Z n b d h f n m g d p b b
2)( = xxf [ m ^ _ l i j y f Z y o
0 -2 m
-2 0
643.
= j Z n b d n m g d p b b 1)( 2 += xxg
i Z j Z -
[ h e Z m d h l h j h c \ _ l \ b g Z i j Z \ e _ g u \ \ _ j o
G Z c ^ _ f d h h j ^ b g Z l u \ _ j r b g u i Z j Z -
[ h e u
.1;0
2
0
2
====\\
g
a
bx
o1 2 0 -1
m2 5 1 2
= j Z n b d n m g d p b b 1)(
2 = xxg i Z
-
j Z [ h e Z < _ l \ b w l h c i Z j Z [ h e u g Z i j Z \ e _ -
g u \ g b a
G Z c ^ _ f d h h j ^ b g Z l u \ _ j r b g u i Z j Z -
[ h e u
.1;0)1(2
0
2 ==== \\ gab
x
o -1 -2 -3 0 1 2 3
m -2 -5 -10 -1 -2 -5 -10
644.
Z = j Z n b d h f n m g d p b b f(x)=
o
[ m ^ _ l
i j y f Z y
o
0 4
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um 1 1
[ = j Z n b d n m g d p b b f(x o2
o
i Z j Z [ h -
e Z < _ l \ b w l h c i Z j Z [ h e u g Z i j Z \ e _ g u \ \ _ j o
D h h j ^ b g Z l u \ _ j r b g u i Z j Z [ h e u
o
\
=E
D
=
m
\
=1.
\ I j b o
] j Z n b d n m g d p b b i j b i h k l j h
-
b f i h l h q d Z f i j b o
] j Z n b d [ m ^ _ l k b f f _ l j b q _ g i h k l j h _ g g h f m
h l g h k b l _ e v g h H m
o0 1 4 9
m0 1 2 3
645.
Z = j Z n b d n m g d p b b g(x)=x2
i Z j Z [ h e Z < _ l \ b w l h c i Z j Z [ h e u
g Z i j Z \ e _ g u \ \ _ j o
G Z c ^ _ f d h h j ^ b g Z l u \ _ j r b g u
i Z j Z [ h e u
o
\
=E
D
=
=0; g\
=0.
o0 1 2 3 4
m0 1 4 9 16
[ = j Z n b d n m g d p b b g(x o2
o
i Z j Z [ h e Z < _ l \ b w l h c i Z j Z [ h e u g Z -
i j Z \ e _ g u \ \ _ j o
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G Z c ^ _ f d h h j ^ b g Z l u \ _ j r b g u i Z j Z [ h e u o
\
=E
D
=
=2;
g\
=442=4.o
0 1 2 4
m 0 3 4 0\ I h k l j h b f ] j Z n b d n m g d p b b g(x)= :
o0 1 4 9 16
m0 1 2 3 4
646.
Z = j Z n b d n m g d p b b y=f(x y \ e y _ l k y k b f f _ l j b q g u f h l g h k b l _ e v -
g h h k b h j ^ b g Z l I h w l h f m _ k e b
(x0; f(x0))i j b g Z ^ e _ ` b l ] j Z n b d m l h
b (x0; f(x0)) i j b g Z ^ e _ ` b l ] j Z n b d m K e _ ^ h \ Z l _ e v g h f(x0)=f(x0) l h
_ k l v f(x0) q _ l g Z y n m g d p b y
[ = j Z n b d n m g d p b b y=f(x y \ e y _ l k y k b f f _ l j b q g u f h l g h k b l _ e v -
g h g Z q Z e Z d h h j ^ b g Z l I h w l h f m _ k e b (x0;f(x0)) i j b g Z ^ e _ ` b l ] j Z n b -
d m l h b (x0; f(x0)) i j b g Z ^ e _ ` b l ] j Z n b d m K e _ ^ h \ Z l _ e v g h f(x0)=
f(x0) l h _ k l v f(x) g _ q _ l g Z y n m g d p b y
647.
Z > Z i j b k=0y=b q _ l g Z y n m g d p b y
[ > Z i j bb=0:y=kx
g _ q _ l g Z y n m g d p b y
648.
> Z i j bb
b Z
m Z o
2 k
y \ e y _ l k y q _ l g h c n m g d p b _ c
649.
Z N m g d p b y m o
100\ h a j Z k l Z _ l g Z i j h f _ ` m l d _ >
),a g Z q b l
5100>4100.
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[ L d
.
]
=
=
=
;
7=(23)7221 m o
21\ h a j Z k l Z _ l g Z i j h f _ ` m l d _
;+ a g Z q b l
321>221 l _ 21>87._
6=(362)3=12963 N m g d p b y \ h a j Z k l Z _ l g Z i j h f _ ` m l d _
(;+ b
12503 l _
6>12503.
651.
Z N m g d p b y f(x o7
\ h a j Z k l Z _ l g Z i j h f _ ` m l d _ ;
+)f(25)>f(12)f(25)f(12)>0.[ N m g d p b y f(x o
7\ h a j Z k l Z _ l g Z i j h f _ ` m l d _
;
+)f(30)0. g(9)>o; g(17)>0g(9)g(17)>0.
_ N m g d p b y g(x
o
10\ h a j Z k l Z _ l g Z i j h f _ ` m l d _ >
+)g(38)>g(0) g(38)g(0)>0.
652.
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Z J Z k k f h l j b f j Z a g h k l v o
n+1xn=xn(x L Z d d Z d x[0; l hx
n o
1 k e _ ^ h \ Z l _ e v g h o
n+1xn l h _ k l v o
n+1xn.[ J Z k k f h l j b f j Z a g h k l v o
n+1xn=xn(x L Z d d Z d x(1; + l hx
n o
1> k e _ ^ h \ Z l _ e v g h o
n+1xn> l h _ k l v o
n+1>xn.
653.
Z
n a g Z q b l n=3.
[
n a g Z q b l
n=2.
\ 3)n
a g Z q b l n=4.
] 32=(2)n
a g Z q b l n=5.
654.
Z
n,y=2n
\ h a j Z k l Z _ l
2
2
=4
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Z = j Z n b d n m g d p b b m
o
3
f h ` g h i h e m q b l v b a ] j Z n b d Z
n m g d p b b m o
3 i h e v a m y k v k b f
-
f _ l j b _ c h l g h k b l _ e v g h h k b o
[ = j Z n b d n m g d p b b m o
31f h ` g h i h e m q b l v b a ] j Z n b d Z
n m g d p b b m o
3i j b i h f h s b i Z j Z e e _ e v g h ] h i _ j _ g h k Z g Z _ ^ b g b p m
\ g b a \ ^ h e v h k b m
\ = j Z n b d n m g d p b b m o 2)3 f h ` g h i h e m q b l v b a ] j Z n b d Z n m g d -p b b m o
3i j b i h f h s b i Z j Z e e _ e v g h ] h i _ j _ g h k Z g Z _ ^ b g b p u \ i j Z
-
\ h \ ^ h e v h k b o
] = j Z n b d n m g d p b b m o2)3
f h ` g h i h e m q b l v b a ] j Z n b d Z
n m g d p b b m o
3i j b i h f h s b ^ \ m o i Z j Z e e _ e v g u o i _ j _ g h k h \
k ^ \ b ] Z
m o
3g Z _ ^ b g b p u \ i j Z \ h b g Z _ ^ b g b p m \ \ _ j o
= j Z n b d n m g d p b b m
o
4f h ` g h i h e m q b l v b a ] j Z n b d Z n m g d p b b
m o
4 i h e v a m y k v k b f f _ l j b _ c h l g h k b l _ e v g h h k b o
_ = j Z n b d n m g d p b b m o
4 f h ` g h i h e m q b l v b a ] j Z n b d Z n m g d -
p b b m o
3i j b i h f h s b i Z j Z e e _ e v g h ] h i _ j _ g h k Z g Z _ ^ b g b p m \ g b a
\ ^ h e v h k b m
= j Z n b d n m g d p b b m o3)4
f h ` g h i h e m q b l v b a ] j Z n b d Z
n m g d p b b m o
4i j b i h f h s b i Z j Z e e _ e v g h ] h i _ j _ g h k Z g Z _ ^ b g b p u
\ i j Z \ h \ ^ h e v h k b o
a = j Z n b d n m g d p b b m o3)4
f h ` g h i h e m q b l v b a ] j Z n b d Z
n m g d p b b m o
3i j b i h f h s b ^ \ m o i Z j Z e e _ e v g u o i _ j _ g h k h \ k ^ \ b ] Z
m o
4g Z _ ^ b g b p u \ i j Z \ h b g Z _ ^ b g b p m \ \ _ j o
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656.
Z d h j g y
[ d h j _ g v
\ g _ l d h j g _ c
] d h j _ g v
d h j _ g v
_ d h j _ g v
657.
Z 0,5
=0,5
=0,52=1.
[
=
=
=
3=2.
\
=1,5
=1,52=3.
]
=
= 55
2
3
=
=
.
=
3 35
0,1=50,1=0,5.
_
=
=
=
=
.
658.
Z =0,2; (
)2=0,22; ( ) = 04,0221x
o=0,04.
[
=
;( )3=
; ( ) =
33
2
13
1
y m
.
\
= g _ l j _ r _ g b c l d d h j _ g v h c k l _ i _ g b b a e x [ h ] h
q b k e Z _ k l v q b k e h g _ h l j b p Z l _ e v g h _
] E
=2; ( E
)4=24; ( ) =4
4
241
b b=16.
=1; ( )8=1
8; ( ) = 88 181x o
_
=2; ( 3 )3=(2)3=8; ( ) ( ) = 33 231x o 8.659.
Z I j b o 20;
o
\ u j Z ` _ g b _ b f _ _ l k f u k e
[ I j b
o 9.
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\ I j b e x [ h f o \ u j Z ` _ g b _ b f _ _ l k f u k e
] I j b Z
Z2)
l _ i j b Z
b e b a5.
I j b m
2
m
J _ r b f m j Z \ g _ g b _ m
2
m D=5
2
4
6=1;
m
+=3 b e b m
m
2 m m
m
2) l _ m b e b m 3.
_ I j bb2+6b8 J _ r b f m j Z \ g _ g b _ b2+6b8=0; b26b+8=0;
D=62418=4; b=
2
46 + b e b b=
2
46 =2b2+6b8=
=(b4)(b2)0; (b4)(b2) l _ b4.
660.
Z o
6 o
.
[ o
9 o
.
\ o
7= o = .] o
11 o
.
4 1+ =2; ( 4 1+ )4=24; ( )( ) =+4
4
21 41
x o o
_
=1;(
)5=15 o
o
661.
Z o
8 o
4 I m k l v o
4=y;y2+6y7=0;
D=624(7)=64;
y1=2
646 +b e b y2=
2
646 =7; x4= \ i _ j \ h f k e m q Z _
o
1 b e b o
2= \ h \ l h j h f k e m q Z _ g _ l j _ r _ g b c l d i j Z \ Z y q Z k l v
j Z \ _ g k l \ Z o
4= h l j b p Z l _ e v g h _ q b k e h
[ o
12 o
6 I m k l v o
6=y;y29y+14=0;D=9
2414=25;
y1=2
259 + b e b
y2=2
259 =2
o
6 b e b o
6 \ i _ j \ h f
k e m q Z _ o 1,2=
\ h \ l h j h f k e m q Z _ o 3,4= .
\ o
6 o
3 I m k l v o
3=y;y
2+11y+24=0;
D=11
2
424=25;
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y1=2
2511+= b e b y2=
2
2511=8o 3= b e b o 3=8;
o 1= b e b o 2= =2.] o
14
o
7 I m k l v o
7=y;y2
5y+6=0;
D=2546=1;
y1=
+ b e b y2=
=2
o
7 b e b o
7 l _ x1
o 2= .
662.
Z
=5; (
)3=53=125; ( ) 33 531 =x o 2)
>5; (
)3>53 o
>125.
3)
16.3)
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[ L Z d d Z d
>
l h
>
k e _ ^ h \ Z l _ e v g h
>0.
\ L Z d d Z d
>0,99,l h
>
k e _ ^ h \ Z l _ e v g h
1 >0.
] L Z d d Z d
= ===
\ i h w l h f m
4
1
12
3
12 3123
1
12
4
12 412 55512533381 ====== .
680.
Z ( )x 212 =4; ( ( )x 2
12 )2=42;x2=16;x=18.
[ x2)2= 41
2 I h e h ` b f x2=yy2= 4 =2;
y= 2 ;x2= 2 ;x1=2+ 2 ,x2=2 2 .
\ ( )y + 31
4 =1; y + 34 = g _ l j _ r _ g b c l d d h j _ g v h c k l _ i _ -g b q b k e h g _ h l j b p Z l _ e v g h _
] ( )y + 3 1 =
1
4; ;
4
1
3
1=
+yy+3=4;y=1.
( )a 5
1
3 =0; a5=0; a=5.
_ a5)0=1
3g _ l j _ r _ g b c l d Z
5)0 g h
1
31.
681.
Z
1
325 < x5 < 15 a g Z q b l 5
151
55
12
1
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\ 325 < x5 < 10005 ; 5 52 < x
1
5 < 10005 ; 551
10002
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684.
Z ====
=
=
+
23
2
3
2
3
3
4
2
322
3
3
4
22
3
3
4
3
2
3
82
3
3
4
3
2
3
8
x
x
x
x
x
x
x
x
x
x
xx
xx
11 ==
? k e b x l h1
x=
1
0 008,=125.
[
===
=
+
[
[
[
[
[[
[[
[[
[[
====[[[[
[
[
.
? k e b x l h x
1
4 =
( )5,0
1
5,0
11
4 44==
x=2.
685.
Z
==
\
[
==
\
[
[
==
\
[
==
\
[
686.
Z o m t t
1
2
1
2 = ==+
02
1
2
1
tt o m
[ o t t
2
3
1
3 2= ( ) m 2 o m 2.
\ o t
1
2 o
2=( t
1
2 )2=t=( t
1
3 )3 m 3 o 3 m 3.
687.
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Z a b a b a b
+ =
1
3
1
3
2
3
2
3
2
3
2
3
1
2( ) ( )
= =+
2
1
3
2
2
1
3
2
3
1
3
1
3
2
3
1
3
1
3
2
)()( bababbaa
= 31
31
31
31
31
31
31
31
babababa
=+ .
[ =+=++
\ \[ \ \[ \[
[ \ \[
=+=
.
688.
Z
a0 5,
3a=a0,5
(2a0,5+0,5
3a1+0,5
)= a0 5,
(235,1
a ).
[ a0 5, +5 a
0 5,=
Z
0,5(3Z
0,5+0,5+5Z
0,5+0,5)= a0 5, (3+5a).
\ a1=Z 0,5(6Z 1+0,5 Z 0,5)= a0 5, (6 a1 5, a0 5, ).
689.
Z x
2
3 4= 2231
32
3
1
2)(2 =
xx =( x
1
3 2)( x1
3 +2).
[ a
4
3 5=( a
2
3 )2( 5
1
2 )2=( a
2
3 )( a
2
3 + ).
\ m
1
2 25=2
4
1
m 52= = 2241
5)(m ( m
1
4 5)( m1
4 +5).
]
2 x1
3 =( 3
1
2 )2( 21
2 x
1
6 )2=( 3 2 x1
6 )( 3 + 2 x
1
6 ).
c0 8, x0 5, =( c0 4, )2( x0 25, )2=( c0 4, x0 25, )( c0 4, + x0 25, )
_ p p0 6, = 23,0221 pp =(p0,5)2(p0,3)2=( p0 5, p0 3, )( p0 5, + p0 3, ).
690.
Z Z8=
33
1
a 23= = 3331
2)(a ( a
1
3 2)(
D+2 a
1
3 +4).
[ 1+27b=13+33
33
1
b =33
1
3)3(1 b+ =(1+3 b
1
3 )(13 b1
3 +9 b
2
3 ).
\ a0 6, b0 6, =( a0 2, )3( b0 2, )3=( a0 2, b0 2, )( a0 4, + a0 2, b0 2, + b0 4, ).
]
x
0 9,
+125=x
0,33
+5
3
=( x
0 3,
)
3
+5
3
=( x
0 3,
+5)( x
0 6,
5 x0 3,
+25).
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691.
Z x y +xy= x y +( x )2( y )2=( x y )+
+( x y )( x + y )=( x y )(1+ x + y );
[ a +a+ b b=( a + b )+( a )2( b )2=( a + b )+
+( a b )( a + b )=( a + b )(1+ a b );
\
[ +4 x
3
4 +4=( x
3
4 )2+22 x3
4 +22=( x
3
4 +2)2;
]
x2 x1
2 a
1
2 +a= =+ 2
2
1
2
1
2
12
2
1
2 aaxx ( x
1
2 )22 x1
2 a
1
2 +( a
1
2 )2=( x
1
2
a12 )2;
x+2 x
1
2 8= =+=++ 2221
2
1
22
1
3)1(912)( xxx
=+++= )31)(31( 21
2
1
xx ( x
1
2 2)( x1
2 +4);
_
[
5 x
1
4 +1=6 x
1
2 3 x
1
4 2 x
1
4 +1=
=3 x
1
4 (2 x
1
4 1)(2 x
1
4 1)= (3 x
1
4 1) (2 x
1
4 1).
692.
I j b x=a
a b
1
2
1
2
1
2+
;y=b
a b
1
2
1
2
1
2
yx
xy
+
=
ED
E
ED
D
ED
E
ED
D
+
+
+
;
1)a
a b
b
a b
1
2
1
2
1
2
1
2
1
2
1
2+
=
ED
ED
=ba
ab
ba
ab
=
2
1
22
12
2
1
2
1
)()(;
2)a
a b
b
a b
a a b b a b
a b a b
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1
2+
+
= + +
+
( ) ( )
( )( )
=
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=ba
ba
ba
babbaa
+
=
++ 21
2
1
2
1
2
1
;
3)ba
ab
2
1
)( : a ba b+ = a b a ba b a b a ba b
1
2
1
2
1
2
1
2
( )( )( ) + = + .
693.
Z I h e h ` b f c
1
2 =y; 18 m2+3
m 10=0;
D=32418(10)=729; y=
36
7293 +=
2
3b e b
y= 36
7293 =
5
6
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694.
Z v=12
3
t
+1=1
2
3
2
3
+ t
t
=u
t
2
3
; t
2
3 =u k e _ ^ h \ Z l _ e v g h v=u
u 1;
v(u1)=u; vuv=u; vu= u+v;[ u
4=t+2; v4=2t; u4+v4=4.
695.
Z
))((
)()(
2
1
2
1
2
1
2
1
3
1
2
1
2
1
3
1
2
1
2
1
2
1
3
1
6
5
3
1
2
1
2
1
nmnmm
nmmnm
nm
nmm
m
nm
+
+=
+
=1
2)m n m n
m n m n
1
2
1
2
1
6
1
6
1
3
1
3
1
6
1
6
1=m n m n m n m n
m n m n
1
2
1
2
1
6
1
6
1
3
1
3
1
6
1
6
1
3
1
3
1
6
1
6
+
=
=
)1(
)1(
6
1
6
1
6
1
6
1
6
1
6
1
3
1
3
1
nmmn
nmnm= m
1
6 n1
6 .
[
x x
x
x
x x
x x
x
x x
x x x
1
6
1
3
1
6
1
3
2
3
1
6
1
6
1
6
1
3
1
3
1
3
2
31
1
1
1
1
1 1
1 1
+
+
+
= +
+ +
+ +
( ) ( )( )
( )( )
=
33
1
3
3
1
6
1
6
1
6
1
)(1
)1)(1(
1
)1(
x
xx
x
xx
+
++
+
= =[
[
[
[[[
+
=+
++
;
2)1
1
12
+x
x1
1
+
x
x=
[[[
[
+
=
+
.
696.
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23
=
+++
++++=
+
++
))()(()()((
))())(()()((
)()(
)()(
2
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1
2
1
babababa
babababa
baba
baba
=baba
babaa
baba
babababa
++++
=
+
++++ ))((22
))(())((
)()(2
22
1
22
1
2
1
2
1
=
b
baa
b
baa
b
baa222222
2
)(2
2
22 +=
+=
+= .
? k e b b=4
5
ab a>0 l h
a a b
b
a a
a
a+ = +
2 2
22
16
254
5
=
=
525 16
25
4
59
25
4
53
5
4
5 5 3
4 5
2 2 2
( ) ( ) ( )( )
aa a
a
aa
a
aa
a
a a
a
+
=+
=+
=+
=
54
85
=
a
a=
8
4
a
a
=2.
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24
697.
AOB=150;AOD=210;AOC=540;AON=45;AOL=135.
698.
A{ B=400;
A{ C=210;
A{ D=240.
699.
Z
=282
; 270
0;k e _ ^ h \ Z l _ e v g h i j y f Z y b h d j m ` g h k l v i _ j _ k _ d Z x l k y \ ^ \ m o l h q -
d Z o
-
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30
[
+ =
+ =
=
+ =
=++
=
50497002500
750
22 yyy
yx
J _ r b f m j Z \ g _ g b _ y
214y+49=0;D=142449=196196=0;K e _ ^ h \ Z l _ e v g h i j y f Z y b h d j m ` g h k l v b f _ x l h ^ g m l h q d m i _ j _ -
k _ q _ g b y l _ i j y f Z y d Z k Z _ l k y h d j m ` g h k l b
720.
Z
= 33)89(3
23
)3(
))2()3((1
32
4
1
4
4
3
43
2
3
==
=
;
[
= 105)24(5
22
)5(
))2()2((1
12
3
1
3
5
1
53
2
3
==
=
.
721.
Z
=48 l Z d d Z d
0; tg>0; ctg>0.[
=137 l Z d d Z d
-
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31
] L Z d d Z d
-
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32
_ F W J >
\ , b , , , q _ l \ _ j l b V L Q 0;
[
>0;
[
.
736.
Z
=
905,0
18029.
(7; 8)
(
)(10;+
-
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35
[
10=
573.
\
=
=36.
]
=
=20.
=
=135.
_
=
6
5=150.
=
2
9=810.
a
=
2
1=2160.
737.
Z
0,2=
11.
[
3,1178.
\
=
=450.
]
=
2
3=270.
=
3
=60.
_
=
=225.
738.
Z =
135=
.
[ =
210=
.
\ =
36=
.
-
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36
] =
150=
.
=
240=
.
_ =
300=
.
120=
(120)=
.
a 225=
(225)=
.
739.
Z =10=
10=
.
[ =18=
18=
.
\ =54=
54=
.
] =200= 200
180
=
.
=225= 225
180 =
.
_ =390= 390
180
=
.
=45= ( )45
180
45
=
.
a =60= ( )60
180
=
.
740.
Z =
; =
=
.
[ =
; =
=
.
\ =0,3; =0,3=0,7.
741.
-
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37
< j Z \ g h [ _ ^ j _ g g h f i j y f h m ] h e v g h f l j _ m ] h e v g b d _ m ] e u j Z \ g u
90; 45; 45; 90=90
=
; 45=45
=
.
742.
Z
l _
sin=0,8.[ V L Q
2+cos2=1;
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43
cos2=1sin2;
cos2=1(
)2=
=
;3
22
9
8cos == g h
, , q _ l \ _ j l b F R V i h w l h f m
5
5sin = .
761.
sin2+cos2=1;cos2=1sin2;cos2=10,62=10,36=0,64;cos= =
g h
, q _ l \ _ j l b F R V
> i h w l h f m
cos=0,8.[ V L Q
2+cos2=1;sin2=1cos2;
sin2=1(
)2=1
=
;
-
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44
sin=
=
g h
, q _ l \ _ j l b V L Q >
i h w l h f m
4
15sin = .
\ W J
2=F R V
;
cos2=W J
+;
cos2=
+=
;
cos=1010
101 = g h , q _ l \ _ j l b F R V > i h w l h f m
10
10cos = .
] F W J
2=V L Q
; ctg2=V L Q
1;
ctg2=V L Q
V L Q
;
ctg2=
=
=
=
;
ctg=
=
g h
, q _ l \ _ j l b F W J >
i h w l h f m
12
5ctg
= .
762.
Z V L Q
2+cos2=
+1681
1681
1681
1600
1681
81
41
402
=+= \ u i h e -
g y _ l k y
[ V L Q
2+cos2=
+
=
16
10
16
1
16
9=+
g _ \ u i h e g y _ l k y
-
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45
\ W Jctg=
1,8=
\ u i h e g y _ l k y
] W Jctg=(
1) (
+1)=2
\ u i h e g y _ l k y
763.
sin2+cos2=0,332+0,632=0,1089+0,3969=0,50581.
764.
Z V L Q
2+cos2=1; cos2=1 sin2;
cos2=1
=
;
cos=
=
g h , , q _ l \ _ j l b F R V
-
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46
tg2=
=
=
;
tg=
=
g hII
q _ l \ _ j l b l _ tg0).
766.
Z V L Q
2+cos2=1; cos2=1 sin2;
cos2=1
=
=
; cos=
=
g h
, q _ l \ _ j l b
cos> i h w l h f m
5
4cos = .
2) tg=V L Q
F R V
; tg=
:
=
=
.
3) ctg=
W J ; ctg=
=
=1
.
[ V L Q
2+cos2=1; sin2=1 cos2;
-
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47
sin2=1
=
=
;sin=
=
g h
I
q _ l \ _ j l b V L Q >
i h w l h f m sin=
.
2) tg=V L Q
F R V
; tg=
:
=
=
=1
.
3) ctg=
W J ; ctg=
=
.
\ F W J =
W J
; ctg=
=
.
2) 1+ctg2=
V L Q
; sin2=
+F W J
;
sin2=( )
+ =
; sin=
=
g h
, , q _ l \ _ j l b
sin> i h w l h f m
sin=
.
3) tg=V L Q
F R V
; cos=
V L Q
W J; cos=
:(
)=
=
.
] W J =
F W J ; tg=
=
.
2) 1+ctg2=
V L Q
; sin2=
+F W J
=
=
+ =
+=
;
sin=
g h
, , , q _ l \ _ j l b V L Q