Find all solutions of the equation sec2 x 4 0 Select the c

Find all solutions of the equation. sec^2 x - 4 = 0 Select the correct answer, where k is any integer: a. pi/3 + k pi, 2pi/3 + k pi, 4pi/3 + k pi, 5pi/3 + k pi b. pi/3 + 2k pi, 2pi/3 + 2k pi c. pi/3 + k pi, 5pi/3 + k pi pi/3 + 2k pi, 2pi/3 + 2k pi, 4pi/3 + 2k pi, 5pi/3 + 2k pi

Solution

sec²x-4=0

sec²x=4

sec x=2 , sec x=-2

x=sec^-12 , x =sec^-1(-2)

correct option is b.