Question : If $\tan \theta-\cot \theta=4$, then find the value of $\tan ^2 \theta+\cot ^2 \theta$.
Option 1: 16
Option 2: 20
Option 3: 14
Option 4: 18
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: 18
Solution :
$\tan \theta-\cot \theta=4$
Squaring both sides,
⇒ $\tan^2\theta + \cot^2\theta - 2\tan\theta \cot\theta = 16$
⇒ $\tan^2\theta + \cot^2\theta = 16+2$
$\therefore \tan^2\theta + \cot^2\theta = 18$
Hence, the correct answer is 18.
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 “”.
