If you cancel out the cos x on both sides, you get
cscx = 2 = 1/sin x
sinx = 1/2
x = 30 or 150 degrees
How would you find the solutions to this problem?
(cosx)(cscx)=2cosx
2 answers
(cosx)(cscx)=2cosx
(cosx)(cscx) - 2cosx = 0
cosx(cscx - 2) = 0
cosx = 0 or cscx = 2
x = 90 or 270 or x = 30 or 150 degrees
(cosx)(cscx) - 2cosx = 0
cosx(cscx - 2) = 0
cosx = 0 or cscx = 2
x = 90 or 270 or x = 30 or 150 degrees