Find all the solutions in there interval (0,2pi) for cos5x=-1/2

Step-by-step explanation:

Solving trigonometric equations.

We are given a condition and we must find all angles who meet it in the provided interval. Our equation is

Solving for 5x:

The values for x will be

To find all the solutions, we'll give n values of 0, 1, 2,... until x stops belonging to the interval

For n=0

For n=1

For n=2

For n=3

For n=4

For n=5 we would find values such as  

which don't lie in the interval

The whole set of results is

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3

y = i/2 xtnop + (3i/2 tnop+ 1)

step-by-step explanation:

the picture is the step by step explanation.