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Show that cot.(pi)/(20). cot .(3pi)/(2...

Show that
`cot.(pi)/(20). cot .(3pi)/(20). cot.(5pi)/(20). cot .(7pi)/(20). cot.(9pi)/(20)=1`

Text Solution

Verified by Experts

The correct Answer is:
`=1.1=1=R.H.S`
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cot. (pi)/(20) cot. (3pi)/(20) cot. (5pi)/(20) cot. (7pi)/(20) cot. (9pi)/(20) cot. (15pi)/(20)=

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Knowledge Check

  • cot((pi)/4-2cot^(-1)3)=

    A
    `3`
    B
    5
    C
    7
    D
    9
  • The value of "cot"(7pi)/(16)+"2 cot"(3pi)/(8)+"cot"(15pi)/(16) is

    A
    4
    B
    2
    C
    `-2`
    D
    `-4`
  • The value of cot(7pi)/16 + 2 cot(3pi)/8 + cot(15pi)/16 is:

    A
    4
    B
    2
    C
    `-2`
    D
    `-4`
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    cos ((3pi )/( 2 ) + x) cos (2pi + x) [cot ((3pi)/( 2)- x ) + cot (2pi +x) ]=1

    The value of cot(7pi)/16 + 2cot(3pi)/8 + cot(15pi)/16 is:

    The value of "cot" (7 pi)/(16) + "2 cot" (3pi)/(8) + "cot" (15 pi)/(16) is