
COS X/2=0 HELP!!!!!! PLEASE!!!


Ответы на вопрос

COS X/2=0
x/2=pi/2+2*pi*n, n є Z
x=pi+4*pi*n , n є Z
ответ: pi+4*pi*n , n є Z



To solve the equation cos(x/2) = 0, we need to find the values of x that satisfy this equation.
From the given equation, we can see that the cosine of x/2 is equal to 0. In trigonometry, the cosine function is equal to 0 at certain angles. These angles are the solutions to the equation.
To find the solutions, we can use the fact that the cosine function is equal to 0 at multiples of π/2. Therefore, we can write the equation as:
x/2 = (2n + 1)π/2, where n is an integer.
To solve for x, we can multiply both sides of the equation by 2:
x = (2n + 1)π, where n is an integer.
This equation gives us the values of x that satisfy the equation cos(x/2) = 0.
Let's find a few solutions:
- When n = 0, x = π/2. - When n = 1, x = 3π/2. - When n = -1, x = -π/2.
These are just a few examples of the infinite number of solutions to the equation.
I hope this helps! Let me know if you have any further questions.


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