Пошаговое объяснение:
3/8 = 6/( x+13 ) ; 10/( x-3 ) = 5/7 ;
x + 13 = 8 * 6/3 ; x - 3 = 10 * 7/5 ;
x + 13 = 16 ; x - 3 = 14 ;
x = 16 - 13 ; x = 14 + 3 ;
x = 3 . x = 17 .
В - дь : х = 3 . В - дь : х = 17 .
a) π/2<t<π - 2-ая четверть
cost - " - "
tgt и ctgt - " - "
cost = -√(1-(4/5)²) = - √(1 - 16/25) = - √9/25 = -3/5
tgt = sint / cost = 4/5 : (-3/5) = -4/3
ctgt = 1/tgt = -3/4
б) 0<t<π/2 - 1-ая четверть
cost , tgt, ctgt - " + "
cost = √(1-(5/13)²) = √(1- 25/169) = √(144/169) = 12/13
tgt= 5/13 : (12/13)=5/12
ctgt = 12/5
в) -π/2<t<0 - 4-ая четверть
cost - " + "
tgt, ctgt - " - "
cost = √(1-(-0.6)²) = √(1-0.36) = √0.64 = 0.8
tgt = -0.6 / 0.8 = - 6/8 = - 3/4
ctgt = - 4/3
г) π<t<3π/2 - 3-я четверть
cost - " - "
tgt, ctgt - " + "
cost = - √(1-(-0.28)²) = - √0.9216 = - 0.96
tgt = -0.28 / (-0.96) = 28/96 = 7/24
ctgt = 24/7 = 3 ³/₇
Пошаговое объяснение: