Simplify the Trigonometric Expression by Following the Indicated Direction$$\frac { 8 \sin ^ { 2 } \theta + 9 \sin \theta + 1 } { \sin ^ { 2 } \theta - 1 }$$

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Simplify the Trigonometric Expression by Following the Indicated Direction $\frac { 8 \sin ^ { 2 } \theta + 9 \sin \theta + 1 } { \sin ^ { 2 } \theta - 1 }$

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Simplify the Trigonometric Expression by Following the Indicated Direction 8sin⁡2θ+9sin⁡θ+1sin⁡2θ−1\frac { 8 \sin ^ { 2 } \theta + 9 \sin \theta + 1 } { \sin ^ { 2 } \theta - 1 }sin2θ−18sin2θ+9sinθ+1​

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Simplify the Trigonometric Expression by Following the Indicated Direction $\frac { 8 \sin ^ { 2 } \theta + 9 \sin \theta + 1 } { \sin ^ { 2 } \theta - 1 }$

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