How do you graph $r = 3 \cdot csc (θ)$ $r=3*csc(theta)$ ?

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How do you graph $r = 3 \cdot csc (θ)$ $r=3*csc(theta)$ ?

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Answer 1 · 2016-05-13T15:43:33

This is polar form of y = 3, representing a straight line parallel to x-axis, The range of $θ$ $theta$ for the whole line is $(0, π)$ $(0, pi)$ . The intercept point on the y-axis is $(3, \frac{π}{2})$ $(3, pi/2)$ .

Explanation:

Interestingly, as $θ \to 0 \pm, r \to \pm \infty$ $theta to 0+-, r to +- oo$ .

Likewise, as $θ \to π \pm, r \to - + \infty$ $theta to pi+-, r to -+ oo$ .

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How do you graph $r = 3 \cdot csc (θ)$ $r=3*csc(theta)$ ?

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How do you graph $r = 3 \cdot csc (θ)$ $r=3*csc(theta)$ ?