Prove that sin^3x+sincos^2x=sinx

Step-by-step explanation:
factor sin(x) out of the equation
sin(x) * ([tex]sin^{2} (x) + cos^{2} (x)[/tex]) = sin(x)
Use the trigonometric identity [tex]sin^{2} (x) + cos^{2}(x) = 1[/tex]
sin(x) * 1 = sin(x)
sin(x) = sin(x)