Actually, tangent ogive bullets are your more common plain jane bullets. The Secant bullets are the VLD type with the more aggressive ogive that is more sensitive to seating depth.
A typical tangent ogive bullet would be like a 168 grain Sierra Matchking. It has a nice rounded edge at the ogive that rounds into the bearing surface from the front nose of the bullet. These are also your more common hunting bullets. If I get a rifle that is having issues shooting, I will switch to a tangent ogive bullet to help tighten up the groups some, or if I need to seat the bullet deep in the case to fit in a magazine.
A Secant ogive bullet would be like a Berger VLD design, where the ogive makes a more abrupt corner at the ogive of the bullet. These are the bullets that are more sensitive to seating depth. (How I remember this is, the S in secant and the S in straight. The front angle of the bullet goes straight into the bearing surface with no smooth transition.)
I prefer Secant, or VLD designs, since I like the higher BC. But I'll make a tangent ogive bullet shoot good, too. It just depends on my application.