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For the function r(x) = 3/4cot(x) the x-intercepts occur at ____ radians.
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That's 3cot(x)/4, right and not 3/(4cot(x))?
And I'm assuming that r stands for radius and this is being done in polar coordinates?
Yes
I think it's wherever cosine =0. The only time it should cross the y axis is when r=0.
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cot(x)=cos(x)/sin(x). Cotangent = 0 when cosine =0.
That graph is not a polar graph, so r=y? and it is rectangular coordinates you want? Either way the method of solution is the same.
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