Graphs of Trigonometric Functions

Tangent and Cotangent Graphs


What is the value of θ\theta satisfying 8tan2θ=248\tan^2\theta = 24 and π2<θ<π2? -\frac{\pi}{2} < \theta < \frac{\pi}{2}?

What is the minimum value of the function y=tanθ+18, y= \tan\theta+18, where π3θ<π2? \frac{\pi}{3} \leq \theta < \frac{\pi}{2} ?

What is the range of θ\theta that satisfies tanθ+6cotθ+6 \tan\theta +6 \geq \cot\theta +6 and 0θ<π? 0 \leq \theta < \pi ?

What is the period of the function y=cotθ2? y=\cot\frac{\theta}{2} ?

Which of the following functions corresponds to the above graph?


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