find smallest solution to cos^3 x + cos x sin^2 x =4sinx

Question

2 decimal places

Answer 1

cos³ x + cos x sin² x = 4sin x

cos x(cos² + sin² x) = 4sin x

cos x = 4sinx

1 = 4sin x / cos x

1 = 4 tan x

0.25 = tan x

θ = tan^-1 0.25

θ ≈ 0.2449 radians