Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
If $\tan \theta=\frac{1}{3}$, then $\cos 2 \theta=$
MathematicsTrigonometric Ratios & IdentitiesMHT CETMHT CET 2020 (13 Oct Shift 1)
Options:
  • A $\frac{1}{4}$
  • B $\frac{1}{10}$
  • C $\frac{1}{5}$
  • D $\frac{4}{5}$
Solution:
2347 Upvotes Verified Answer
The correct answer is: $\frac{4}{5}$
$\cos 2 \theta=\frac{1-\tan ^{2} \theta}{1+\tan ^{2} \theta}=\frac{\left(1-\frac{1}{9}\right)}{\left(1+\frac{1}{9}\right)}=\frac{4}{5}$

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.