Cosa=-√(1-sina)=-√(1-144/169)=-√(25/169)=-5/13
tga=sina/cosa=-12/13:(-5/13)=12/13*13/5=12/5=2,4
tg(π/4-a)=(tgπ/4-tga)/(1+tgπ/4*tga)=(1-2,4)/(1+2,4)=-1,2/3,4=-6/17
А)sin 22=0,374607.,
sin 30= 1/2.,
б) cos15=0,965926.
У - 2х = 6
Х^2 - ху + у^2 = 12
Решение
у = 2х + 6
Х^2 - х( 2х + 6 ) + ( 2х + 6 )^2 = 12
X^2 - 2x^2 - 6x + 4x^2 + 24x + 36 = 12
3x^2 + 18x + 24 = 0
3( x^2 + 6x + 8 ) = 0
D = 36 - 32 = 4 = 2^2
X1 = ( - 6 + 2 ) : 2 = - 2
X2 = ( - 6 - 2 ) : 2 = - 4
y1 = 2•( - 2 ) + 6 = - 4 + 6 = 2
y2 = 2•( - 4 ) + 6 = - 8 + 6 = - 2
Ответ ( - 2 ; 2 ) ; ( - 4 ; - 2 )
2ac - 4bc
__________
5a³c - 20acb²
⇒
2c(a - 2b)
___________
5ac(a² - 4b²)
⇒
2c(a-2b)
____________
5ac(a-2b)(a+2b)
⇒
2c
_______
5ac(a+2b)
⇒
2 2
_______ или _________
5a(a+2b) 5a²+ 10ab