BQ#3 – Unit T Concepts 1-3

BQ #3

1). How do the graphs of sine and cosine relate to the others?

Tangent

Tangent equals sine/cos as a ratio identity so if one of the graphs is negative then tangent will be negative. If both of the graphs are either positive or negative then the tangent graph will be positive.

Cotangent

The relation is the same as tangent, except the ratio identity is the inverse of tangent, so the ratio identity would actually be cosine/sine.

Secant

It is related to a cosine graph because the reciprocal of cosine is secant.The reason asymptotes are there is once again because of a trig ratio, this time being that sec = 1/cos, and like before, since cosine is the denominator, any place where the cosine value is zero we will have an asymptote.

Cosecant

Just like secant is the reciprocal of cosine, so to are cosecant and sine related in that way. Cosecant is directly related to sine because the reciprical of cosecant is 1/sine.Whenever sine is equal to 0 on the graph, then you will find an asymptote for cosecant there.