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 $\cos \theta < \sin \theta$ and $\theta$ lies in the first quadrant, then which one of the following is correct?
MathematicsTrigonometric Ratios & IdentitiesNDANDA 2009 (Phase 1)
Options:
  • A $0 < \theta < \pi / 4$
  • B $\pi / 4 < \theta < \pi / 2$
  • C $0 < \theta \leq \pi / 3$
  • D $\pi / 3 < \theta < \pi / 2$
Solution:
1262 Upvotes Verified Answer
The correct answer is: $\pi / 4 < \theta < \pi / 2$
We know that, for $\frac{\pi}{4} < \theta < \frac{\pi}{2}$
$\cos \theta < \sin \theta$

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.