4. Graphing Trigonometric Functions

Determine the simplest form of an equation for each graph. Choose b > 0, and include no phase shifts. (Midpoints and quarter points are identified by dots.)

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Below is a graph of the function $y=\tan\left(bx\right)$. Determine the value of b.

Below is a graph of the function $y=\cot\left(bx+\frac{\pi}{2}\right)$. Determine the value of b.

Graph each function over a one-period interval.

y = 3 sec [(1/4)x]