Решить уравнение (3x+1)/4-(7x-30)/5+(1-2x)/9

Question

Алгебра: Решить уравнение (3x+1)/4-(7x-30)/5+(1-2x)/9

Diana15080511 · Accepted Answer

1)  sin (t+П/5) =√2/2 t +π/5 = (-1)^n*arcsin(√2/2) + πn, n∈Z t +π/5 = (-1)^n*(π/4) + πn, n∈Z t = (-1)^n*(π/4) - π/5 + πn, n∈Z 2) сos (2t +П/4)=0 2t + π/4 =  π/2 + πk, k∈Z 2t  =  π/2 - π/4 + πk, k∈Z 2t  = π/4 + πk, k∈Z t  = π/8 + πk/2, k∈Z 3) tg(t/2- П/2) = - √3  - tg( π/2- t/2) = - √3  - ctg(t/2) = - √3   ctg(t/2) =  √3 t/2 = arctg(√3) + πn, n∈Z t/2 = π/3 + πn, n∈Z t = 2π/3 + 2πn, n∈Z 4) сos^ 2(2t + π/6) = 1/2   a)   сos(2t + π/6) = -√2/2 2t + π/6 = (+ -)*arccos(-√2/2) + 2πk, k∈Z  2t + π/6 = (+...

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