Question

Cosx=0 уравнение работать

Answer 1

Cosx=0
      x=П/2+Пn ; n∈z

Ответ: x=П/2+Пn ; n∈z

Answer 2

Solving the Equation Cosx=0

To solve the equation cosx=0, we can use the trigonometric properties of the cosine function. The solutions to this equation can be found by determining the values of x for which the cosine function equals 0.

The solutions to the equation cosx=0 are the values of x for which the cosine function equals 0. In the interval [0, 2π), the solutions are x=π/2 and x=3π/2. These are the values of x that make the cosine function equal to 0.

Therefore, the solutions to the equation cosx=0 are x=π/2 + nπ and x=3π/2 + nπ, where n is an integer.

In summary, the solutions to the equation cosx=0 are x=π/2 + nπ and x=3π/2 + nπ, where n is an integer.

If you have any further questions or need additional assistance, feel free to ask!

Answer 3

Solving the Equation Cosx=0

To solve the equation cosx=0, we can use the trigonometric identity that relates cosine and sine functions. The identity states that cosx=0 when sinx=±1. Let's break down the solution step by step.

1. Using Trigonometric Identity: - The trigonometric identity cosx=0 implies that sinx=±1. - This means that the solutions for cosx=0 occur when sinx=1 or sinx=-1.

2. Finding the Solutions: - The solutions for sinx=1 and sinx=-1 can be determined using inverse trigonometric functions. - For sinx=1, the solution is x=π/2 + 2nπ where n is an integer. - For sinx=-1, the solution is x=3π/2 + 2nπ where n is an integer.

3. Conclusion: - Therefore, the solutions to the equation cosx=0 are x=π/2 + 2nπ and x=3π/2 + 2nπ where n is an integer.

This approach uses the fundamental trigonometric identity to find the solutions for the given equation.