How to prove (1-secx)/(1-cosx)=-secx
Hello,
We suppose x ≠+/-π/2. (division by 0)
sec x=1/cos x
1-sec x= 1-1cos x=(cos x -1)/cos x
(1-sec x)/(1-cos x)=(cos x -1)/(cos x(1-cos x))=-1/cos x=- sec x
To answer, we have to simplify the expression given. We know that:
sec x=1/cos x
1-sec x= 1-1/cos x=(cos x -1)/cos x
(1-sec x)/(1-cos x)=(cos x -1)/(cos x*(1-cos x))=-1/cos x=- sec x