Question

please solve this question​

Answer 1

Answer:

$cosec\theta \: + \: cot\theta \: = 9 \\ = > \frac{1}{ \: cosec\theta \: + \: cot\theta \: } = \frac{1}{9} \\ = > \frac{ (cosec\theta \: - \: cot\theta )\: }{ \: \:(cosec\theta \: + \: cot\theta ) \times (cosec\theta \: - \: cot\theta ) \: } = \frac{1}{9} \\ = > \frac{ \: cosec\theta \: - \: cot\theta\: }{ {cosec}^{2} \theta - {cot}^{2}\theta} = \frac{1}{9} \\ = > \frac{ \: \:cosec\theta \: - \: cot\theta \: }{1} = \frac{1}{9} \\ = > cosec\theta \: - \: cot\theta = \frac{1}{9}$