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

ques 16

Asked by rbhatt16 12th December 2017, 4:21 PM
Answered by Expert
Answer:
begin mathsize 16px style Let space straight pi 3 to the power of straight x equals straight z Then space question space will space be cosz minus 2 cos squared straight z plus 2 cos 4 straight z minus cos 7 straight z equals sinz plus 2 sin squared straight z minus 2 sin 4 straight z plus 2 sin 3 straight z minus sin 7 straight z cosz minus cos 7 straight z minus sinz plus sin 7 straight z equals 2 sin squared straight z minus 2 sin 4 straight z plus 2 sin 3 straight z plus 2 cos squared straight z minus 2 cos 4 straight z 2 sin 4 zsin 3 straight z plus 2 cos 4 zsin 3 straight z equals 2 open parentheses sin squared straight z plus cos squared straight z close parentheses minus 2 sin 4 straight z plus 2 sin 3 straight z minus 2 cos 4 straight z sin 4 zsin 3 straight z plus cos 4 zsin 3 straight z equals 1 minus sin 4 straight z plus sin 3 straight z minus cos 4 straight z sin 4 straight z left parenthesis 1 plus sin 3 straight z right parenthesis plus sin 3 straight z left parenthesis cos 4 straight z minus 1 right parenthesis equals 1 minus cos 4 straight z sin 4 straight z left parenthesis 1 plus sin 3 straight z right parenthesis equals open parentheses 1 minus cos 4 straight z close parentheses plus sin 3 straight z open parentheses 1 minus cos 4 straight z close parentheses sin 4 straight z left parenthesis 1 plus sin 3 straight z right parenthesis equals open parentheses 1 minus cos 4 straight z close parentheses open parentheses 1 plus sin 3 straight z close parentheses sin 4 straight z left parenthesis 1 plus sin 3 straight z right parenthesis minus open parentheses 1 minus cos 4 straight z close parentheses open parentheses 1 plus sin 3 straight z close parentheses equals 0 left parenthesis 1 plus sin 3 straight z right parenthesis open parentheses sin 4 straight z minus 1 plus cos 4 straight z close parentheses equals 0 1 plus sin 3 straight z equals 0 space space space space space OR space space space space space sin 4 straight z minus 1 plus cos 4 straight z equals 0 sin 3 straight z equals negative 1 space space space space space space space space OR space space space space sin 4 straight z plus cos 4 straight z equals 1 Consider comma sin 4 straight z plus cos 4 straight z equals 1 open parentheses sin 4 straight z plus cos 4 straight z close parentheses squared equals 1 Solving space this space you space get space sin 8 straight z equals 0 Putting space straight z equals straight pi 3 to the power of straight x Find space value space of space straight x. end style
Answered by Expert 22nd December 2017, 1:07 PM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Report an issue
Tags: advanced-trigonometric-formulae trigonometric-functions
Previous Question
Next Question
Your answer has been posted successfully!

Free related questions

Please solve 41 st question
3rd January 2022, 11:41 AM
L f(t) = cos^4t
16th January 2022, 2:00 PM
sin 3theta-cos 3theta greater than zero then theta lies in
20th May 2022, 4:19 PM
1/(sec(alpha) - tan alpha) - 1/(cos alpha) = 1/(cos alpha) - 1/(sec(alpha) + tan alpha)
3rd June 2022, 10:15 AM
Please help me to solve the question.
8th June 2022, 3:26 PM
RELATED STUDY RESOURCES :
JEE QUESTION ANSWERS

Browse free questions and answers by Chapters

Trending Tags

trigonometric equations Mole concept linear equations circle trigonometric ratios functions matrix operations integration arithmetic progression quadratic equation

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