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What do you notice? What do you wonder?
Your teacher will assign you a function—either secant, or cotangent, where , , and .
Complete the table of values for your function from 0 to .
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Graph your function from 0 to .
We can use the sine, cosine, and tangent functions to talk about some new trigonometric functions: cosecant, secant, and cotangent.
Cosecant is the reciprocal function of sine. This means that . On a right triangle, we can identify the trigonometric ratio . We can use this information to create a graph of . The graph will have an asymptote any time . We also know that any time , any time , and has the same period as . Here is the graph of :
Secant is the reciprocal function of cosine. This means that . On a right triangle, we can identify the trigonometric ratio . We can use this information to create a graph of . The graph will have an asymptote any time . We also know that any time , any time , and has the same period as . Here is the graph of :