Find all solutions of the equation in the interval 0 2 pi al

Find all solutions of the equation in the interval [0, 2 pi] algebraically. Use the table feature of a graphing utility answers numerically, 8 sec x csc x = 16 csc x x = (smaller x-value) x = (larger x-value)

Solution

8sec x csc x=csc x

8/(cos x sin x)=16/(sin x)

2sin x cos x -sin x=0

sin x=0 , 2cos x-1=0

x=0,pi, pi/3,5pi/3