![Trending Articles on Technical and Non Technical topics](/images/trending_categories.jpeg)
Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Physics
Chemistry
Biology
Mathematics
English
Economics
Psychology
Social Studies
Fashion Studies
Legal Studies
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
If $tan\theta +cot\ \theta =5$, then find the value of $tan^{2} \theta +cot^{2} \theta $.
Given: $tan\theta +cot\theta =5$.
To do: To find the value of $tan^{2} \theta +cot^{2} \theta $.
Solution: As given, $tan\theta +cot\theta =5$
On squaring both sides,
$( tan\theta +cot\theta )^{2} =5^{2}$
$\Rightarrow tan^{2} \theta +cot^{2} \theta +2tan\theta cot\theta =25$
$\Rightarrow tan^{2} \theta +cot^{2} \theta +2=25$
$\Rightarrow tan^{2} \theta +cot^{2} \theta =25-2$
$\Rightarrow tan^{2} \theta +cot^{2} \theta =23$
Advertisements