Question

Решить уравнение  cos (x+pi) =-1  

Answer 1

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Answer 2

To solve the equation cos(x + π) = -1, we need to find the values of x that satisfy the equation. Let's proceed with the solution:

Recall the unit circle trigonometry identity: cos(θ) = -1 when θ = (2n + 1)π, where n is an integer.

So, in this case, we have:

x + π = (2n + 1)π

Now, solve for x:

x = (2n + 1)π - π

Simplify:

x = (2n)π

where n is any integer.

So, the solution to the equation cos(x + π) = -1 is x = (2n)π, where n is an integer. This means there are infinitely many solutions to the equation. Every time you add an even multiple of π to x, you get another solution that satisfies the equation.