Prove identity sin2x = tanx ( 1 + cos2x )?

Please watch your parentheses. .. (cos²(x) - sin²(x) ) / ( cos²(x) + sin(x) cos(x) )? Divide num & denom by cos²(x) ( 1 - tan²(x) ) / ( 1 + tan(x) ) ( 1 - tan(x) ) ( 1 + tan(x) ) / ( 1 + tan(x) ) 1 - tan(x).

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