Question : If $\sec\theta +\tan\theta = 3$, then what is the value of $\sec \theta-\tan \theta$?
Option 1: $\frac{1}{3}$
Option 2: $6$
Option 3: $\frac{1}{6}$
Option 4: $\frac{1}{5}$
New: SSC CHSL tier 1 answer key 2024 out | 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: $\frac{1}{3}$
Solution :
Given, $\sec\theta +\tan\theta = 3$
We know that,
$\sec^2θ−\tan^2θ=1$
⇒ $(\secθ−\tanθ)(\secθ+\tanθ)=1$
⇒ $(\secθ−\tanθ)(3)=1$
⇒ $\secθ-\tanθ=\frac13$
Hence, the correct answer is $\frac{1}{3}$.
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 “”.
