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: 5. cos inverse of minus 1 over 2

Find the principal values of the following:

    5. \cos^{-1}\left(-\frac{1}{2} \right )

Answers (1)

best_answer

Let us assume that  \cos^{-1}\left(-\frac{1}{2} \right ) =y then,

Easily we have; \cos y = \left ( \frac{-1}{2} \right ) or we can write it as: 

-\cos \left ( \frac{\pi}{3} \right ) = \cos \left ( \pi - \frac{\pi}{3} \right ) = \cos \left ( \frac{2\pi}{3} \right ).

as we know that the range of the principal values of \cos^{-1}  is \left [ 0,\pi \right ].

Hence \frac{2\pi}{3} lies in the range it is a principal solution.

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

Fake notice on CBSE 10th, 12th results 2025 in two-halves viral, board alerts students
anam-khan

CBSE Board Result 2025 LIVE: Class 10th, 12th results soon on cbse.gov.in; marksheets, DigiLocker code
anam-khan

CBSE 10th, 12th Results 2025 Live: When will CBSE declare results? Date, time, latest updates

Latest Question