Question

Cos3x+3=0 Please Help

Answer 1

Cos3x + 3 = 0

Cos3x = - 3

решений нет, так как  - 1 ≤ Cos3x ≤ 1

Answer 2

To solve the equation $\cos(3x) + 3 = 0$, you can follow these steps:

1. Subtract 3 from both sides of the equation to isolate the cosine term:

   $\cos(3x) = -3$

2. To solve for $\cos(3x)$, you can use the inverse cosine function (arccosine) on both sides of the equation:

   $3x = \arccos(-3)$

3. However, there's a problem here. The range of the cosine function is between -1 and 1, and you can't take the arccosine of a number less than -1 or greater than 1. Since -3 is outside this range, there are no real solutions to this equation.

In summary, the equation $\cos(3x) + 3 = 0$ has no real solutions because the cosine function never reaches a value of -3. If you were looking for solutions in a different domain (such as complex numbers), please specify, and I can provide further assistance.