Question

Cos 6x = 1 help please

Answer 1

$\cos(6x) = 1 \\ 6x = 2\pi n \\ x = \frac{\pi}{3} n, \: n \in Z$

Answer 2

To solve the equation cos(6x) = 1, we need to find the values of x that satisfy the equation.

In general, the cosine function oscillates between -1 and 1 as the input angle varies. The only angle for which cosine is equal to 1 is 0 degrees (or 0 radians). However, in this equation, we have 6x as the input angle.

To find the values of x, we can set 6x equal to 0 degrees (or 0 radians) and solve for x.

6x = 0

Dividing both sides by 6:

x = 0/6

Therefore, x = 0 is the solution to the equation cos(6x) = 1.