Question

Sin x (cos 3x - 3) = 0

Answer 1

Ответ:

решение представлено на фото

Answer 2

To solve the equation sin(x)(cos(3x) - 3) = 0, we need to find the values of x that satisfy this equation. To do this, we can set each term inside the parentheses equal to zero and solve for x.

1. Set sin(x) = 0: If sin(x) = 0, then x can take values such as x = 0, π, 2π, 3π, etc.

2. Set cos(3x) - 3 = 0: To solve for cos(3x), first, add 3 to both sides: cos(3x) = 3

   Now, we know that the range of cosine function is [-1, 1], so there are no real solutions for this equation, since cos(3x) cannot equal 3.

Therefore, the only solutions to the original equation are x = 0, π, 2π, 3π, etc.