Integrate the following expression: ∫₀^(π/3) (-10sin(x))/(cos²(x))dx. Which of the following options correctly represents the result of the integration?

A) ∫₀^(π/3) (-10tan(x))dx
B) ∫₀^(π/3) (-10cot(x))dx
C) ∫₀^(π/3) (10tan(x))dx
D) ∫₀^(π/3) (10cot(x))dx