Question : If $A=60^{\circ}$ and $B=30^{\circ}$, find the value of $\frac{(\tan A-\tan B)}{(1+\tan A \tan B)}$.
Option 1: $3$
Option 2: $\frac{1}{\sqrt{3}}$
Option 3: $\sqrt{3}$
Option 4: $1$
New: SSC CHSL Tier 2 answer key released | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
Correct Answer: $\frac{1}{\sqrt{3}}$
Solution :
Given, $A=60^{\circ}$ and $B=30^{\circ}$
We know, $\frac{(\tan A-\tan B)}{(1+\tan A \tan B)}=\tan(A-B)=\tan(60^{\circ}-30^{\circ})=\tan30^{\circ}=\frac{1}{\sqrt3}$
Hence, the correct answer is $\frac{1}{\sqrt3}$.
Related Questions
Know More about
Staff Selection Commission Combined High ...
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Get Updates Brochure
Your Staff Selection Commission Combined Higher Secondary Level Exam brochure has been successfully mailed to your registered email id “”.
