Asimplified version of sin2 θ (1 + cot2 θ) = 1 is

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.

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The answers are 20,30,80,180,960,890,1230,4560. on the first row