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Graphs of Trigonometric Functions

Plot the six different trig functions, discover their illuminating interactions, and ride the wave!

Cosec and Sec Graphs

         

What is the minimum value of the function \( y= \sec\theta+13 \) in the interval \( -\frac{\pi}{2} < \theta < \frac{\pi}{2} ?\)

Which of the following functions corresponds to the above graph?

For what value(s) of \(\theta\) do we have \(\sin\theta = \csc\theta \) and \( 0 \leq \theta < 2\pi ?\)

What is the periodicity of the function \( y=\sec\theta ?\)

What is the sum of the \(x\)-coordinates of the intersection points of the two graphs \( y=\csc x\) and \( y= x ,\) in the interval \(-\pi < x < \pi ?\)

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