1. One period graphed for the

**sine function**. (

*y*= sin

*x*)

**cosine function**. (

*y*= cos

*x*)

Desmos Interactive Graph |

**cosecant function**. (

*y*= csc

*x =*1 / sin

*x*)

4. One period graphed for the

**secant function**. (

*y*= sec

*x =*1 / cos

*x*)

Notice that the zeros of sine and cosine define vertical asymptotes for the cosecant and secant functions. To see this click on the link below for an interactive graph.

Desmos Interactive Graph |

**tangent function**. (

*y*= tan

*x =*sin

*x*/ cos

*x*)

6. One period graphed for the

**cotangent function**. (

*y*= cot

*x =*cos

*x*/ sin

*x*)

Notice that for the tangent function, the zeros of cosine determine the vertical asymptotes. And for the cotangent function, the zeros of sine determine the vertical asymptotes.

Desmos Interactive Graph |