Using the graph of y=cos(x), list all values of x on the interval [-11π/3,11π/6] that satisfy the ordered pair of (x,-1/radical2).

- List all the values of (x,-1/radical2)

(Type an exact answer using π as needed. Use a comma to separate answers as needed. Use integers or fractions for any numbers in the​ expression.)

- Please, ​someone, ​help me. Show work step by step so that I can learn it. I have no idea where to start, so please be specific on the steps on how to solve it. Thank You

1 answer

1/√2 is the cosine of 45º (π/4)
... that is the reference angle

-1/√2 is the cosine of
... ±3π/4
... add or subtract multiples of 8π/4 to find the values on the interval

x values...-13π/4, -11π/4, -5π/4, -3π/4, 3π/4, 5π/4