Sec x - 2=0

x=?

a. 7pi/6

b. pi/4

c. 5pi/6

d. 5pi/3

e. 7pi/4

We are given the function sec x - 2 = 0 and is asked to solve for x. In this case, we all know that secant is the inverse of cosine. Hence, the expression becomes cos x = 1/2. x then in degrees is equal to 60 degrees. In radians, this is equal to pi/3. cos is also positive in the fourth quadrant which means the answer is d. 5 pi/3.