Cho tan x = −2. Tính P = (sinx − 3cosx) / (sinx + cosx).

Chọn C

\(P = \frac{{\sin x - 3\cos x}}{{\sin x + \cos x}} = \frac{{\frac{{\sin x}}{{\cos x}} - 3}}{{\frac{{\sin x}}{{\cos x}} + 1}} = \frac{{\tan x - 3}}{{\tan x + 1}} = \frac{{ - 2 - 3}}{{ - 2 + 1}} = 5.\)