+91-8076753736 support@wiredfaculty.com
logo
logo

A PHP Error was encountered

Severity: Notice

Message: Undefined variable: temp_qds

Filename: Questions_Page/Ncert_Question.php

Line Number: 320

Backtrace:

File: /home/wiredfa1/public_html/application/views/final/Questions_Page/Ncert_Question.php
Line: 320
Function: _error_handler

File: /home/wiredfa1/public_html/application/controllers/Home.php
Line: 235
Function: view

File: /home/wiredfa1/public_html/index.php
Line: 315
Function: require_once

Sponsor Area

Continuity And Differentiability

Question
CBSEENMA12035423
Wired Faculty App

If space straight y equals log space left parenthesis 1 plus cos space straight x right parenthesis comma space prove space that space straight y subscript 1 space straight y subscript 2 plus straight y subscript 3 equals 0.

Solution
Here space straight y equals log space left parenthesis 1 plus cos space straight x right parenthesis therefore space space space space straight y subscript 1 equals fraction numerator 1 over denominator 1 plus cos space straight x end fraction cross times left parenthesis negative sin space straight x right parenthesis equals negative fraction numerator sin space straight x over denominator 1 plus cos space straight x end fraction equals negative fraction numerator 2 space sin begin display style straight x over 2 end style cos begin display style straight x over 2 end style over denominator 2 space cos squared begin display style straight x over 2 end style end fraction equals negative tan straight x over 2 therefore space space space space straight y subscript 2 equals negative sec squared straight x over 2 cross times 1 half equals negative 1 half sec squared straight x over 2 therefore space space space space straight y subscript 3 equals 1 half. open parentheses 2 space sec straight x over 2. sec straight x over 2 tan straight x over 2.1 half close parentheses equals 1 half sec squared straight x over 2 tan straight x over 2 straight L. straight H. straight S equals straight y subscript 1 plus straight y subscript 2 plus straight y subscript 3 space space space space space space space space space space space equals open parentheses negative tan straight x over 2 close parentheses open parentheses negative 1 half sec squared straight x over 2 close parentheses plus open parentheses negative 1 half sec squared straight x over 2 tan straight x over 2 close parentheses space space space space space space space space space space space equals 1 half sec squared straight x over 2 tan straight x over 2 minus 1 half sec squared straight x over 2 tan straight x over 2 space space space space space space space space space space space equals 0 equals straight R. straight H. straight S.

Some More Questions From Continuity and Differentiability Chapter

Mock Test Series

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation