How many solutions does the equation cos(6x)=1/2 have on the interval (0, 2pi)?

The number of possible solution of the trignometric equation are:

12

Step-by-step explanation:

We have to find the solution of the trignometric equation which is given as:

Now, the solution of the trignometric equation is the possible value of x such that the equation holds true.

Now we know that:

Also,

We are given that:

0<x<2π.

this means that:

0<6x<12π.

Now, we have the solution as:

and:

Hence, the number of possible solution of the trignometric equation are:

12

a

step-by-step explanation:

the answer is a