Home
Class 12
MATHS
Find the periods of following functions....

Find the periods of following functions.
`{:((i)f(x)=[sin3x]+abs(cos6x),(ii)f(x)=1/2{abs(sinx)/cosx+abs(cosx)/sinx}),((iii)f(x)=e^(cos^(4)pix+x-[x]+cos^(2)pix),(iv)f(x)=3sin""(pix)/3+4cos""(pix)/4):}`
`{:((v)f(x)=cos3x+sinsqrt(3)pix,(vi)f(x)=sin""(pix)/(n!)-cos(pix)/((n+1)!)),((vii)f(x)=x-[x-b],(viii)f(x)=e^(In(sinx))+tan^(3)x-cosec(3x-5)):}`

Text Solution

Verified by Experts

The correct Answer is:
(i) `2/3pi` (ii) `2pi` (iii) 1 (iv) 24 (v) Does not exist (vi) 2(n+1)! (vii) 1 (viii) `2pi`
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 8|8 Videos
  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 9|10 Videos
  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 6|5 Videos
  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos
  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

Find period of following functions (if existsI) f(x)=x-[x]+cos(pix)

Find the period of the following function (i) f(x) =|sinx|+|cosx| (ii) f(x)=cos(cosx)+cos(sinx) (iii) f(x)= (|sinx+cosx|)/(|sinx|+|cosx|)

The period of f(x)=sin""(2pix)/(3)+ cos""(pix)/(2) , is

Find the fundamental period of the following function: f(x)="sin" (pix)/4+"sin"(pix)/3

Find the period for each of the following functions: (a) f(x)=tan 2x (b) f(x)=cot(x/2) , () f(x)=sin 2pix .

Find the period of the function f(x) = (sin x + sin 3x)/(cos x + cos 3x)

The period of the function f(x)=|sin 3x|+| cos 3x| , is

f(x)=5+3sin x+4cos x

Find period of the following functions (i) f(x)="sin" x/2+"cos"x/3 (ii) f(x)={x}+sinx, where {.} denotes fractional part function (iii) f(x)=4cosx.cos3x+2 (iv) f(x)="sin"(3x)/2-"cos"x/3-"tan"(2x)/3

The period of the fuction f(x)=sin""((pix)/(n!))+ cos((pix)/((n+1)!)) , is