Question

simplifique: sen² x +sen² x . cotg² x

Answer 1

$\sin^2x+\sin^2x\cdot cotg^2x=\\\\\sin^2x+\sin^2x\cdot \frac{\cos^2x}{\sin^2x}=\\\\\sin^2x+\cos^2x=\\\\\boxed{1}$

Answer 2

sen² x +sen² x . cotg² x

sen² x +sen² x .cos² x
                       sen² x 

sen² x + cos² x

 = 1