Question

sin^2 theta Cot²theta + Cos²theta Tan²theta = 1​

Answer 1

${sin}^{2} \theta {cot}^{2} \theta + {cos}^{2} \theta {tan}^{2} \theta \\ \\ = {sin}^{2} \theta \times \frac{ {cos}^{2} \theta}{ {sin}^{2} \theta} + {cos}^{2} \theta \times \frac{ {sin}^{2} \theta }{ {cos}^{2} \theta } \\ \\ = {cos}^{2} \theta + {sin}^{2} \theta \\ = 1$