Calculus Question

Question

Which function always increases between its asymptotic values?

1. sine
2. cosine
3. tangent
4. cotangent

Answer 1

1. sine: NO because there are no asymptotes!
2. cosine: NO because there are no asymptotes!
3. tangent: YES! The graph decreases on an elongated "S" curve down through (-1 , 1), (0, 0), and (1, -1).
4. cotangent: NO because it decreases between its asymptotes