Home
Class 12
MATHS
Find the period of the function f(x) =...

Find the period of the function
`f(x) = sin((pi x)/3) + cos ((pi x)/2) `.

Text Solution

Verified by Experts

The correct Answer is:
12
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS - PART - A : BUILDING-UP THE BASE|152 Videos

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS - PART - A : BUILDING-UP THE BASE (B) Properties of triangles|27 Videos

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP: CHAPTER 3-3.3|13 Videos

  • THREE DIMENSIONAL GEOMETRY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|39 Videos

  • VECTORS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

Similar Questions

Explore conceptually related problems

Period of the function f(x) = sin((pi x)/(2)) cos((pi x)/(2)) is

Find the period of the function f(x)=3sin((pi x)/(3))+4cos((pi x)/(4))

Knowledge Check

  • The period of the function f(x)=sin((2x+3)/(6pi)) , is

    A
    `2pi`
    B
    `6pi`
    C
    `6pi^(2)`
    D
    none of these

  • The period of f(x) = 3 sin (pi x)/(3) + 4 cos (pi x)/(4) is

    A
    6
    B
    8
    C
    24
    D
    `2 pi`

  • The function f(x) = sin x - x cos pi is

    A
    maximum or minimum for all integral multiple of `pi`
    B
    maximum if x is an odd positive or even negative integral multiple of `pi`
    C
    minimum of x is an even positive or odd negative integral multiple of `pi`
    D
    None of these

    • Similar Questions

    Explore conceptually related problems

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

    The period of the function f(x)=cos(pi(x)/(n!))-sin(pi(x)/((n+1)!)) is

    find the range of function f(x)=sin(x+(pi)/(6))+cos(x-(pi)/(6))

    Verify that the period of function f(x) =sin^(10)x " is " pi.

    In each of the following cases find the period of the function if it is periodic. (i) f(x)="sin"(pi x)/(sqrt(2))+"cos"(pi x)/(sqrt(3)) " (ii) " f(x)="sin"(pi x)/(sqrt(3))+"cos"(pi x)/(2sqrt(3))

    Home
    Profile