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
The period of $\cos (3 x+5)+7$ is
MathematicsFunctionsTS EAMCETTS EAMCET 2020 (11 Sep Shift 2)
Options:
  • A $\frac{2 \pi}{5}$
  • B $\frac{2 \pi}{3}$
  • C $\frac{2 \pi}{15}$
  • D $\frac{2 \pi}{7}$
Solution:
2806 Upvotes Verified Answer
The correct answer is: $\frac{2 \pi}{3}$
Given, $\cos (3 x+5)+7$
$\therefore \quad$ Period $=\frac{2 \pi}{|3|}\{\because$ Period of $\cos (a x+b)+c$ $\left.=\frac{2 \pi}{|a|}\right\}$
Period $=\frac{2 \pi}{3}$

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.