Math  /  Trigonometry

QuestionDetermine the period of the function y=2cos2x+sinxy=2 \cos 2x + \sin x.

Studdy Solution
The period of the sum of two functions is the least common multiple (LCM) of the periods of the individual functions. So, we need to find the LCM of π\pi and 2π2\pi.
Since 2π2\pi is a multiple of π\pi, the LCM of π\pi and 2π2\pi is 2π2\pi.
Therefore, the period of the function y=2cos2x+sinxy=2 \cos2x + \sin x is 2π2\pi.

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord