Solve the equation in the interval from 270° to 810°

your answer should be in degrees

cos(x)=1

choose all answers that apply

a. 0°

b.90°

c.360°

d.540°

e. 720°

f.1080°

C.360°

E.720°

F.1080

Step-by-step explanation:

Trigonometric Equations

The typical solutions of trigonometric equations are angles that comply with the conditions posed by the equalities. The angle can be expressed in radians or degrees.

Our equation is

And we must find the solutions in the interval from 270° to 810°

The angles that have cosine equal to 1 are 0° plus 360° per turn or cycle. Recall the cosine is an oscillating function whose values are repeated every 360 degrees. Thus, all possible values for x are

x=0°

x=360°

x=720°

x=1080°

We won't try more values since they won't be on the given interval. Negative values are also valid like x=-360° but they are also out of bounds.

We can see that three of the given options are correct:

C.360°

E.720°

F.1080