Verify the identity sec(beta) - 1 / cos(beta) = sec(beta)

[tex]\frac{sec(\beta)-1}{1-cos(\beta)}=sec(\beta)[/tex]we know that[tex]sec(\beta)=\frac{1}{cos(\beta)}[/tex]then, lets replace it[tex]\frac{\frac{1}{cos(\beta)}-1}{1-cos(\beta)}=\frac{1}{cos(\beta)}[/tex]multiple each member by [tex]cos(\beta)[/tex][tex]\frac{1-cos(\beta)}{1-cos(\beta)}=1[/tex]simplifying[tex]1=1[/tex]