Question

(cosec theta)2-(cot theta)2=​

Answer 1

2cosec○ + 2cot○

2(cosec○ + cot○)

2 (1/sin○ + cos○/sin○)

2 (1+cos○/sin○)

(2+2cos○)/sin○

Hope it helps

Answer 2

${cosec}^{2} theta \: - {cot}^{2} theta \\ \\ = \frac{1}{ {sin}^{2} theta} - \frac{ {cos}^{2}theta }{ {sin}^{2}theta } \\ \\ = \frac{1 - {cos}^{2} theta}{ {sin}^{2}theta } \\ \\ = \frac{ {sin}^{2}theta }{ {sin}^{2}theta } \\ \\ = 1$