![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
Write 'True' or 'False' and justify your answer in each of the following:
$ (\tan \theta+2)(2 \tan \theta+1)=5 \tan \theta+\sec ^{2} \theta $.
Given:
\( (\tan \theta+2)(2 \tan \theta+1)=5 \tan \theta+\sec ^{2} \theta \).
To do:
We have to find whether the given statement is true or false.
Solution:
We know that,
$\sec ^{2} \theta-\tan ^{2} \theta=1$
Therefore,
$(\tan \theta+2)(2 \tan \theta+1)=2 \tan ^{2} \theta+4 \tan \theta+\tan \theta+2 $
$=2(\sec ^{2} \theta-1)+5 \tan \theta+2$
$=2 \sec ^{2} \theta+5 \tan \theta$
The given statement is true.
Advertisements