Respuesta :

The solution to the problem is as follows:

 LHS = sin^2 θ (1 + cot^2 θ) 
= sin^2 θ (1 + cos^2 θ/ sin^2 θ) 
= sin^2 θ + cos^2 θ 
= 1 
= RHS.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!