Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Find the principal values of the following: 10. cosec inverse of - root 2

Find the principal values of the following:

    10. \textup{cosec}^{-1}(-\sqrt2)

Answers (1)

best_answer

Let us assume the value of \textup{cosec}^{-1}(-\sqrt2) = y , then

we have cosec\ y = (-\sqrt 2)   or

 -cosec\ (\frac{\pi}{4}) = (-\sqrt 2) = cosec\ (\frac{-\pi}{4}).

and the range of the principal values of \textup{cosec}^{-1}  lies between  \left [ \frac{-\pi}{2},\frac{\pi}{2} \right ] - \left \{ 0 \right \}.

hence the principal value of \textup{cosec}^{-1}(-\sqrt2) is \frac{-\pi}{4}.

 

Posted by

Divya Prakash Singh

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

PM Modi's Pariksha Pe Charcha 2025 to be held next month, registrations open till January 14
anam-khan

CBSE Board Exams 2025: Online portal for availing exemptions by CWSN students opens
anam-khan

Board Exams: States agree to equivalence; no question paper ‘jumbling’ from next year, says PARAKH CEO

Latest Question