Question

10sin^2x + 3sinx = 1
Срочноо!!!

Answer 1

заменим sinx на t, тогда:
10t²+3t-1=0
D= 9+40=49
t1= (-3+7)/20= 1/5
t2= (-3-7)/20= -1/2

sin(x)= -1/2
x1= 2Пn1 + 7П/6    n1∈z
x2= 2Пn2 + 11П/6   n2∈z
sin(x)= 1/5
x3= П- 1/5sin(x) +2Пn3  n3∈z
x4= 2Пn4+ 1/5sin(x)   n4∈z