LET \[y=\FRAC{\tan x}{\tan 3x}=\frac{\tan x}{\frac{3\tan x-{{\tan }^{3}}x}{1-3{{\tan }^{2}}x}}\] \[y=\frac{1-3{{\tan }^{2}}x}{3-{{\tan }^{2}}x}=\frac{\frac{1}{3}-{{\tan }^{2}}x}{1-\frac{1}{3}.{{\tan }^{2}}x}\] Hence, y should never lie between \[\frac{1}{3}\]and 3 WHENEVER defined. "> LET \[y=\FRAC{\tan x}{\tan 3x}=\frac{\tan x}{\frac{3\tan x-{{\tan }^{3}}x}{1-3{{\tan }^{2}}x}}\] \[y=\frac{1-3{{\tan }^{2}}x}{3-{{\tan }^{2}}x}=\frac{\frac{1}{3}-{{\tan }^{2}}x}{1-\frac{1}{3}.{{\tan }^{2}}x}\] Hence, y should never lie between \[\frac{1}{3}\]and 3 WHENEVER defined. ">
Mobile Technologies Web Technologies Digital Marketing Creative Design Career Talk Medical General Tech Interviews Internet Of Things

Embark on a journey of knowledge! Take the quiz and earn valuable credits.

Take A Quiz

Challenge yourself and boost your learning! Start the quiz now to earn credits.

Take A Quiz

Unlock your potential! Begin the quiz, answer questions, and accumulate credits along the way.

Take A Quiz

Popular Categories

All
Interview Questions
Question Bank
Quantitative Aptitude
Engineering
Govt Exams
Digital Marketing
Management
Interviews

The value of \[\frac{\tan x}{\tan \,3x}\]whenever defined never lie between [Kurukshetra CEE 1998; IIT 1992]

Mathematics Trigonometric Identities in Mathematics 1 year ago

  1.18K   0   0   0   0 tuteeHUB earn credit +10 pts
5 Star Rating 1 Rating
LET \[y=\FRAC{\tan x}{\tan 3x}=\frac{\tan x}{\frac{3\tan x-{{\tan }^{3}}x}{1-3{{\tan }^{2}}x}}\] \[y=\frac{1-3{{\tan }^{2}}x}{3-{{\tan }^{2}}x}=\frac{\frac{1}{3}-{{\tan }^{2}}x}{1-\frac{1}{3}.{{\tan }^{2}}x}\] Hence, y should never lie between \[\frac{1}{3}\]and 3 WHENEVER defined.
Previous Next

User submissions are the sole responsibility of contributors, with TuteeHUB disclaiming liability for accuracy, copyrights, or consequences of use; content is for informational purposes only and not professional advice.

Take Quiz To Earn Credits!

Turn Your Knowledge into Earnings.

tuteehub_quiz

Tuteehub forum answer Answers

Post Answer

No matter what stage you're at in your education or career, TuteeHub will help you reach the next level that you're aiming for. Simply,Choose a subject/topic and get started in self-paced practice sessions to improve your knowledge and scores.

Explore Other Libraries

Blogs Tutorials Question Bank Feeds Careernews