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Graphs of Trigonometric Functions

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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