Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Find the period of the function f(x)=cos(sinx) +cos(cosx)

Find the period of the function f(x)=cos(sinx) +cos(cosx)

Answers (1)

best_answer

Solution: We have ,

\ f(x)=cos(sinx)+cos(cosx)

Let f(x)  is periodic then f(x+T)=f(x)\ \Rightarrow cos(sin(x+T))+cos(cos(x+T))=cos(sinx)+cos(cosx)

If x=0 then cos(sinT)+cos(cosT)\=cos(0)+cos(1)=cos(cospi /2)+cos(sinpi /2)

On comparing T=pi /2

 

Posted by

Deependra Verma

View full answer

Similar Questions

Latest Question