Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • The value of  using half angle identity.<div class='qna-op

The value of  \sin\ \frac{\pi }{6} using half angle identity.

Option: 1

\frac{1}{\sqrt{2}}


Option: 2

-\frac{1}{\sqrt{2}}


Option: 3

\frac{1}{2}


Option: 4

-\frac{1}{2}


Answers (1)

best_answer

Given that,

\sin\ \frac{\pi }{6}
Here,

\frac{A}{2}=\frac{\pi }{6}
A=\frac{\pi }{3}
Using the Half-angle formula,

\sin\left ( \frac{A}{2} \right )=\sqrt{\frac{1-\cos\ A}{2}}
\sin\left ( \frac{\pi }{6} \right )=\sqrt{\frac{1-\cos\ \left ( \frac{\pi }{3} \right )}{2}}
\sin\left ( \frac{\pi }{6} \right )=\sqrt{\frac{\left ( \frac{1}{2} \right )}{2}}
\sin\left ( \frac{\pi }{6} \right )=\frac{1}{2}
 

Posted by

Gaurav

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 Mains 2025 session 1 registration deadline on November 22; apply on jeemain.nta.nic.in
anam-khan

BTech Admission 2025 Live: JEE Mains, SRMJEEE, MET registrations underway; MHT CET syllabus updates
anam-khan

Centre issues coaching guidelines, prohibits centres from using false claims like '100% selection'

Latest Question