Please wait...
Contact Us
Contact
Need assistance? Contact us on below numbers

For Study plan details

93219 24448 / 89292 63204

10:00 AM to 7:00 PM IST all days.

For Franchisee Enquiry

81783 72169
OR

Chat with us on WhatsApp

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this number

93219 24448 / 99871 78554

Mon to Sat - 10 AM to 7 PM

Home / Doubts and Solutions/JEE/Mathematics

Sir pls solve this question.

qsnImg
Asked by rsudipto 15th December 2018, 6:13 PM
Answered by Expert
Answer:
begin mathsize 12px style A space equals space integral subscript 1 superscript sin theta end superscript fraction numerator t space d t over denominator 1 plus t squared end fraction space equals space 1 half integral subscript 1 superscript sin theta end superscript fraction numerator 2 t space d t over denominator 1 plus t squared end fraction space equals space open vertical bar ln square root of 1 plus t squared end root close vertical bar subscript 1 superscript sin theta end superscript space equals space ln open parentheses square root of fraction numerator 1 plus sin squared theta over denominator 2 end fraction end root space close parentheses B space equals space integral subscript 1 superscript cos e c theta end superscript fraction numerator d t over denominator t open parentheses 1 plus t squared close parentheses end fraction space equals space integral subscript 1 superscript cos e c theta end superscript open parentheses 1 over t space minus space fraction numerator t over denominator 1 plus t squared end fraction close parentheses d t space equals space open square brackets ln space t space minus space ln space square root of 1 plus t squared end root close square brackets subscript 1 superscript cos e c theta end superscript equals space ln space open square brackets fraction numerator t over denominator square root of 1 plus t squared end root end fraction close square brackets subscript 1 superscript cos e c theta end superscript space equals space ln open square brackets square root of fraction numerator 2 over denominator 1 plus sin squared theta end fraction end root space close square brackets D space equals space open vertical bar table row A cell A squared end cell B row cell e to the power of A e to the power of B end cell cell B squared end cell cell negative 1 end cell row 1 cell open parentheses A squared plus B squared close parentheses end cell cell negative 1 end cell end table close vertical bar space equals space A open parentheses negative B squared plus A squared plus B squared close parentheses space minus A squared open parentheses negative e to the power of A e to the power of B space plus space 1 close parentheses space plus B open parentheses e to the power of A e to the power of B open parentheses A squared plus B squared close parentheses minus B squared close parentheses space.......... left parenthesis 1 right parenthesis W e space h a v e comma space e to the power of A e to the power of B space end exponent space equals space square root of fraction numerator 1 plus sin squared theta over denominator 2 end fraction end root cross times square root of fraction numerator 2 over denominator 1 plus sin squared theta end fraction end root space equals 1........... left parenthesis 2 right parenthesis u sin g space e q n. left parenthesis 2 right parenthesis space i n space e q n. left parenthesis 1 right parenthesis comma space space D space equals space A cubed space plus space A squared B space equals space A squared left parenthesis A plus B right parenthesis.......... left parenthesis 3 right parenthesis w e space h a v e space comma space A plus B space equals space ln open parentheses square root of fraction numerator 1 plus sin squared theta over denominator 2 end fraction end root space close parentheses space plus space space ln open square brackets square root of fraction numerator 2 over denominator 1 plus sin squared theta end fraction end root space close square brackets space equals space 0 h e n c e space D space space equals space 0 space end style
Answered by Expert 16th December 2018, 11:49 AM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Report an issue
Tags: determinant integration
Previous Question
Next Question
Your answer has been posted successfully!

Free related questions

How to solve it ?  
8th February 2022, 10:46 AM
do it pls
17th January 2023, 12:16 AM
maths
23rd October 2023, 11:26 PM
intergal dx/3+2x+x²
26th October 2023, 3:54 PM
maths que tell
6th November 2023, 11:09 PM
RELATED STUDY RESOURCES :
JEE QUESTION ANSWERS

Browse free questions and answers by Chapters

Trending Tags

trigonometric equations Mole concept linear equations trigonometric ratios functions circle quadratic equation matrix operations integration equivalent resistance

Latest Questions

CBSE X Biology
What is enzyme  
Asked by Sureshgowdayd548 28th October 2020, 10:50 PM
JEE Main Mathematics
The following pseudocode is executed using the “Paragraph words” dataset. At the end of the execution, CountB captures the number of verbs with letter count less than the average letter count of verbs. But the pseudocode may have mistakes in one or more lines. Identify all such lines (if any). It is a Multiple Select Question (MSQ).  Error in Line 4  Error in Line 8  Error in Line 11  Error at Line 12  Error in Line 17  Error at Line 18  Error in Line 21 The following pseudocode is executed using the “Words” table. What will be the value of A at the end of the execution?
Asked by amaladelsingh 28th October 2020, 10:24 PM
CBSE X Biology
I want a brief clarity on Taxonomy
Asked by reenacharan2008 28th October 2020, 9:11 PM

Chat with us on WhatsApp