Answer: 2
Step-by-step explanation:
We can manipulate the left-hand side as follows.
[tex]\tan \theta+\cot \theta\\\\=\frac{\sin \theta}{\cos \theta}+\frac{\cos \theta}{\sin \theta}\\\\=\frac{\sin^{2} \theta+\cos^{2} \theta}{\cos \theta \sin \theta}\\\\=\frac{1}{\cos \theta \sin \theta}\\\\=\frac{1}{\frac{1}{2} sin 2\theta}\\\\=\boxed{2} \text{ cosec} 2\theta[/tex]
