Graphs of Trigonometric Functions

Cosec and Sec Graphs


What is the minimum value of the function y=secθ+13 y= \sec\theta+13 in the interval π2<θ<π2? -\frac{\pi}{2} < \theta < \frac{\pi}{2} ?

Which of the following functions corresponds to the above graph?

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

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

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


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