:
:
:
30 40 = 1 + 20
30 40 = ( 30 40) / ( 30 40)
70 = (30 + 40) = 30 40 - 30 40
30 40 = 70 + 30 40 = 20 + 30 40
70 = 20
30 40 = [20 + 30 40] / (30 40)
= 1 + 20/(30 40)
= 1 + 20/(1/2*2*20 20)
= 1 + 1/20 = 1 + 20
:
70 = 20
70 = (30 + 40) = 30 40 - 30 40
30 40 = 20 + 30 40
30 40
30 40 = 20/(30 40) + 1 = 20/(1/2*2*20 20) + 1 = 20 + 1
: ( /2 ) ( /2 ) = [ ( - ) / ] ( / 2 )
/ = / = /
= */
= */
= [180 - ( + )] = ( + ) = 2( + )/2 ( + )/2
/2 = (90 - /2) = ( + )/2
= 1/2*( + + )
( - ) = 1/2*( - + )
[( - )*/2] / = [1/2*( - + )/ ]*/2
= 1/2*]*/2 *[(*/) - (*/) + ]/ ]
= 1/2*[(/2)/] [ - + ]
= 1/2*[/2 /(2/2 /2] [( - ) + ]
= 1/2*1/2*(1//2) * [(2( + )/2 ( - )/2 ) + 2( + )/2 ( + )/2]
= 1/2*[( - )/2 + ( + )/2 ]
= 1/2*[2/2 /2 ] = /2 /2
^2 + ^2 + ^2 = 1 - 2
+ + = 180
= - ( + ) = - [ - )
^2 = ^2*^2 + ^2*^2 - 2* *
= ^ ^2 + (1 - ^2)(1 - ^) - 2* *
= 2 ^2 ^2 - ^2 - ^2 + 1 - 2* *
= 2 [ - ] - ^2 - ^2 + 1
= 2 *( + ) - ^2 - ^2 + 1
= - 2 - ^2 - ^2 + 1
^2 + ^2 + ^2 =
= - 2 - ^2 - ^2 + 1 + ^2 + ^2
= 1 - 2
1/2 = / 2 = (2 - ) / 2
:
1/2 + 1/4 + 1/8 + ... + 1/(2^) = - (2^)
= [2 - 2 ] / 2
= / - 2/2 = - 2
1/2 + 1/4 + 1/8 + ... + 1/(2^) =
= ( - 2) + (2 - 4) + (4 - 8) + .... + (2^( - 2) - 2^( - 1) ) + (2^( - 1) - 2^ )
= - 2^
: 1 (0 1 )
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