# trigonometrical range...quite interesting

Geometry Level 4

If the range of the expression for $$\theta\neq n\pi,n \in Integers$$ $\dfrac{cosec^2\theta+cot\theta}{cosec^2\theta-cot\theta}$ is $$\large [a,b]$$.

Find the value of $$\dfrac{b}{a}$$

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