Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • The value of (1 – tan215o)/(1 + tan215o) is A. 1 B. √3 C. √3/2 D. 2

The value of \left (1 - \tan\textsuperscript{2}15\textsuperscript{o})/(1 + \tan\textsuperscript{2}15\textsuperscript{o} \right )  is

A. 1

 

B. \sqrt {3} \\\\

 

C. \sqrt 3/2\\\\

D. 2

Answers (1)

The answer is the option (c).    

\\Given~that~~\frac{1 - \tan ^{2}15^{0}}{1+\tan ^{2}15^{0}}~~~~ \\\\ Let \: \: \theta =15^{0}~ 2 \theta =30^{0}~~ \\\\ ~ \cos2 \theta =\frac{1 - \tan ^{2} \theta }{1+\tan ^{2} \theta }~~ \\\\ ~\cos 30^{0}=\frac{1 - \tan ^{2}15^{0}}{1+\tan ^{2}15^{0}}=\frac{\sqrt {3}}{2} \\\\

Posted by

infoexpert21

View full answer

Similar Questions

Latest Question