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cos ((3pi )/( 2 ) + x) cos (2pi + x) [co...

`cos ((3pi )/( 2 ) + x) cos (2pi + x) [cot ((3pi)/( 2)- x ) + cot (2pi +x) ]=1`

Answer

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Knowledge Check

  • 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

    A
    `x = 0`
    B
    y = 0
    C
    x = y
    D
    `n pi + y - (pi)/(4) (n in Z)`
  • 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
  • sin""((pi)/2+ theta ) * cos (pi- theta ) * cot ""((3pi)/(2)+ theta ) - sin""((pi)/2- theta ) * sin""((3pi)/2 - theta ) * cot ""((pi)/2 + theta ) =

    A
    1
    B
    0
    C
    `-1`
    D
    2
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