Resposta :

[tex]\sin^2x+\sin^2x\cdot cotg^2x=\\\\\sin^2x+\sin^2x\cdot \frac{\cos^2x}{\sin^2x}=\\\\\sin^2x+\cos^2x=\\\\\boxed{1}[/tex]
3478elc


sen² x +sen² x . cotg² x

sen² x +sen² x .cos² x
                       sen² x 

sen² x + cos² x

 = 1

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