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2cot^(-1)(7) + cos^(-1)(3//5), in princi...

`2cot^(-1)(7) + cos^(-1)(3//5)`, in principal value, is equal to

A

`cos^(-1)(44/125)`

B

`cot^(-1)(44/117)`

C

`tan^(-1)(41/117)`

D

`"cosec"^(-1)(117/125)`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • 2cot^(-1)(7) + cos^(-1)(3//5) , in principal value equal to

    A
    `cos^(-1)(44/125)`
    B
    `cot^(-1)(44/117)`
    C
    `tan^(-1)(41/117)`
    D
    `"cosec"^(-1)(117/125)`

  • 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`

  • "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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