# How do you graph #y=sec(1/4theta)#?

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To graph ( y = \sec\left(\frac{1}{4}\theta\right) ), follow these steps:

- Identify the period of the function. For the secant function, the period is ( 2\pi ).
- Determine the critical points where the function is undefined. Secant is undefined where its reciprocal function, cosine, equals zero. So, ( \cos\left(\frac{1}{4}\theta\right) = 0 ). Solve for ( \theta ) to find these critical points.
- Plot the critical points on the graph.
- Determine the behavior of the function between the critical points.
- Sketch the graph, ensuring it repeats every ( 2\pi ) interval.

It's important to note that the secant function's graph will have asymptotes where the cosine function is zero. These asymptotes occur at regular intervals of ( \pi ) on the graph.

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