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

you already gave the answer

step-by-step explanation:

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°