Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • If  , <img alt="x" src="https://entrancecorner.oncodecogs.com/gif.lat

If sinx=\frac{2}{3} , x lies in the first quadrant, then the value of cos \: x is

Option: 1

\frac{5}{2}


Option: 2

\frac{\sqrt{5}}{3}


Option: 3

\frac{3}{2}


Option: 4

\frac{\sqrt{5}}{2}


Answers (1)

best_answer

Given sinx=\frac{2}{3} , x lies in the first quadrant.

We know that the formula,

\sin ^2\Theta +\cos ^2\Theta =1

Implies cos^2x=1-sin^2x

                           =1-\frac{4}{9}

              cos^2x=\frac{5}{9}

Then, cosx=\frac{\sqrt{5}}{3}

 

Posted by

Suraj Bhandari

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2026 Registration LIVE: NTA JEE form at jeemain.nta.nic.in; what's new this year?
anam-khan

JEE Main 2026: Wider gap in NIT cut-offs for home and other-state quotas; outsiders need better rank
anam-khan

JEE Mains 2026: Use of calculator 'not allowed’ says NTA; cites ‘typographical error' in information bulletin

Latest Question