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Graphs of Trigonometric Functions

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

Tangent and Cotangent Graphs

         

What is the value of \(\theta\) satisfying \(8\tan^2\theta = 24\) and \( -\frac{\pi}{2} < \theta < \frac{\pi}{2}?\)

What is the minimum value of the function \( y= \tan\theta+18, \) where \( \frac{\pi}{3} \leq \theta < \frac{\pi}{2} ?\)

What is the range of \(\theta\) that satisfies \( \tan\theta +6 \geq \cot\theta +6 \) and \( 0 \leq \theta < \pi ?\)

What is the period of the function \( y=\cot\frac{\theta}{2} ?\)

Which of the following functions corresponds to the above graph?

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