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

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

A

1

B

2

C

3

D

4

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • 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
  • The period of sin (pix )/( n ) - cos ((pi x)/( n+1)) is

    A
    not defined
    B
    2 (n ) (n+1)
    C
    n !
    D
    2(n+1)!
  • The period of f(x) = sin""(pi x)/(n!)-cos""(pi x)/((n+1)!) is

    A
    `(n+1)!`
    B
    `2(n+1)!`
    C
    `2(n)!`
    D
    `((n+1))/(2!)`
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    Find the period of f(x)=2sin. (pix)/(4)+3cos .(2pi)/(3)

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

    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.

    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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