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If cosec . (pi)/(32)+ cosec. (pi)/(16)+ ...

If `cosec . (pi)/(32)+ cosec. (pi)/(16)+ cosec. (pi)/(8)+ cosec. (pi)/(4)+ cosec. (pi)/(2)= cot. (pi)/(k)`, then the value of k is

A

64

B

96

C

48

D

32

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • If cosec(pi)/(4)-"sin"(pi)/(3)=x , then the value of x is

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    `(4)/(sqrt(3))`
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  • If "tan"(pi)/(3)+"cosec"(pi)/(6)=x , then x is

    A
    `((1-sqrt(2)))/(sqrt(2))`
    B
    `((sqrt(3)+4))/(2sqrt(3))`
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    `sqrt(3)+2`
    D
    `((2sqrt(2)-1))/(2)`

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