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If "cosec"^(-1)x = 2 cot^(-1)7 + cos^(-1...

If `"cosec"^(-1)x = 2 cot^(-1)7 + cos^(-1)(3//5)` then the value of x is

A

`44/117`

B

`125//117`

C

`24//7`

D

`5//3`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • If cosec^(-1)x=2cot^(-1)7+cos^(-1)((3)/(5)) , then x=

    A
    `(117)/(44)`
    B
    `(117)/(22)`
    C
    `(125)/(117)`
    D
    `(175)/(117)`

  • If cos ( cot^(-1) ((1)/(2))) cot ( cos^(-1) x ) then a value of x is

    A
    `(1)/(sqrt(6)) `
    B
    `(-1)/(sqrt(12))`
    C
    `(2)/(sqrt(6))`
    D
    `(-2)/(sqrt(6))`

  • "cosec"[2 cot^(-1)(5) + cos^(-1)(4/5)] is equal to

    A
    `56/33`
    B
    `65/56`
    C
    `65/33`
    D
    `75/56`

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    If sec^(-1) x = cosec^(-1) y , then find the value of cos^(-1).(1)/(x) + cos^(-1).(1)/(y)

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