Question : If $\tan A=\frac{3}{8}$, then the value of $\frac{3 \sin A+2 \cos A}{3 \sin A-2 \cos A}$ is:
Option 1: $-\frac{13}{25}$
Option 2: $-\frac{25}{7}$
Option 3: $\frac{25}{8}$
Option 4: $\frac{13}{21}$
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
Correct Answer: $-\frac{25}{7}$
Solution :
Given: $\frac{3 \sin A+2 \cos A}{3 \sin A-2 \cos A}$
Dividing both numerator and denominator by $\cos A$,
= $\frac{3 \tan A+2}{3 \tan A-2}$
= $\frac{3(\frac{3}{8})+2}{3(\frac{3}{8})-2}$
= $-\frac{25}7$
Hence, the correct answer is $-\frac{25}7$.
Related Questions
Know More about
Staff Selection Commission Combined Grad ...
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Get Updates Brochure
Your Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.
