Question

(3ctgx^2+4ctgx)/(5cosx^2-4cosx)=0

Answer 1

ОДЗ уравнения



2Решение методом разложения на множители



3Приводим подобные



4Решаем уравнение






6Решаем уравнение





8Периодические решения



9Неявные решения





Answer 2

To solve the equation:

(3ctgx^2 + 4ctgx)/(5cosx^2 - 4cosx) = 0

We can begin by simplifying the expression in the numerator:

ctgx(3x + 4)/(5cosx^2 - 4cosx) = 0

Now we have a fraction equal to zero, which means that the numerator must equal zero. Therefore, we can set ctnx(3x + 4) = 0 and solve for x.

ctgx(3x + 4) = 0

Since ctnx cannot be zero, we can conclude that:

3x + 4 = 0

x = -4/3

Therefore, the solution to the equation is x = -4/3.