Câu 2.Cho tanalpha =3 Tính giá trị của biểu thức P=(2sinalpha +3cosalpha )/(sinalpha +cosalpha ) A. 2. B. (9)/(4) (Are) C. (5)/(2) D . 2024.

Given that , we have , which means .Now let's substitute this into the expression for P: P = \frac{2\sin \alpha + 3\cos \alpha}{\sin \alpha + \cos \alpha} = \frac{2(3\cos \alpha) + 3\cos \alpha}{3\cos \alpha + \cos \alpha} = \frac{6\cos \alpha + 3\cos \alpha}{4\cos \alpha} = \frac{9\cos \alpha}{4\cos \alpha} Assuming , we can cancel from the numerator and denominator: P = \frac{9}{4} Therefore, the value of the expression P is .Final Answer: The final answer is