Question

Решить уравнение cos 8x = 1

Answer 1

cos 8x = 1

8x=+/-2pi*n, n-натуральное число

x=+/-pi*n/4,n-натуральное число

Answer 2

To solve the equation cos(8x) = 1, we need to find the values of x that satisfy this equation. Remember that the cosine function oscillates between -1 and 1. The only time cos(8x) equals 1 is when its argument is an even multiple of π.

The general form of the solution is: 8x = 2πn, where n is an integer.

Now, we can solve for x: x = (2πn) / 8

Final solution: x = πn / 4, where n is an integer.