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Sin^2 x question

 
How do I prove that sin^2  x(1 + cot^2  x) = 1
 
 
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Philip P. | Effective and Affordable Math TutorEffective and Affordable Math Tutor
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sin2(x)[1 + cot2(x)] = 1
 
Identity: cot(x) = cos(x)/sin(x)
 
sin2(x)[1 + cos2(x)/sin2(x)] = 1
 
Distribute the sin2(x) across the terms in the brackets:
 
sin2(x) + cos2(x) = 1
 
which is a Pythagorean Identity.