If $${\text{tan}}\theta = \frac{4}{3}{\text{,}}$$ then the value of $$\frac{{3\sin \theta + 2\cos \theta }}{{3\sin \theta - 2\cos \theta }}$$ is?
A. $$\frac{1}{2}$$
B. $${\text{1}}\frac{2}{3}$$
C. 3
D. -3
Answer: Option C
Solution(By Examveda Team)
$$\eqalign{ & {\text{ tan}}\theta = \frac{4}{3} \cr & \frac{{\sin \theta }}{{\cos \theta }} = \frac{4}{3} \cr & \Rightarrow \frac{{3 \times 4 + 2 \times 3}}{{3 \times 4 - 2 \times 3}} \cr & \Rightarrow \frac{{18}}{6} \cr & \Rightarrow 3 \cr} $$Related Questions on Trigonometry
A. x = -y
B. x > y
C. x = y
D. x < y
Join The Discussion