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The period of sin ((pi x )/( 2 )) + 2 ...

The period of sin `((pi x )/( 2 )) + 2 cos ((pi x)/( 3 ) ) - tan ((pi x)/(4)) ` is

A

4

B

6

C

12

D

24

Text Solution

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The correct Answer is:
3
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Knowledge Check

  • Period of sin""(3pi x)/(2) + cos""(pi x)/(2) is

    A
    1
    B
    2
    C
    3
    D
    4

  • the period of sin ((pi)/(3) -x ) sin ((pi)/(3) + x) is

    A
    `(pi)/(2 ) `
    B
    `(pi)`
    C
    `(3pi)/(2)`
    D
    `2pi`

  • Statement - I : Period of cos^(3) x + cos^(3) (120^(0) - x) + cos^(3) (120^(0) + x ) is (pi)/(3) Statement -II : Period of cos((2pi x)/ 3 ) + sin((pix)/2) - tan ((pi x )/ 4) is 12 Which of the above statement is correct.

    A
    only I
    B
    only II
    C
    both I & II
    D
    neither I nor II

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    cos ((3pi)/( 4) + x) - cos((3pi)/( 4) -x) =- sqrt2 sin x

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

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    The value of cos y cos ((pi)/(2) - x) - cos ((pi)/(2) - y) cos x + sin y cos ((pi)/(2) - x) + cos x sin ((pi)/(2) - y) is zero if

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