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sin h^(-1)(2^((3)/(2))) =...

`sin h^(-1)(2^((3)/(2)))` =

A

`log_(e) (2 + sqrt(18))`

B

`log_(e) (3 + sqrt(8))`

C

`log_(e) (3 - sqrt(8))`

D

`log_(e) (sqrt(8) + sqrt(27))`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • sin ^(-1) (sqrt(3))/(2) + sin ^(-1) sqrt(2/3)=

    A
    `sin ^(-1) (sqrt(3)+sqrt(2))/(2 sqrt(3))`
    B
    `pi - sin ^(-1) ((sqrt(3)+sqrt(2))/(2sqrt(3)))`
    C
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    D
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  • sec h^(-1) ((1)/(2)) - "cosec h"^(-1) ((3)/(4)) =

    A
    `log_(e) ((1+ sqrt(3))/(3))`
    B
    `log_(e) ((2 + sqrt(3))/(3))`
    C
    `log_(e) ((2-sqrt(3))/(3))`
    D
    `log_(e) [3 (2 + sqrt(3))]`

  • e^((sec h ^(-1)""(1)/(2)+tan h^(-1)""(1)/(2)+sin h^(-1)""(1)/(2))=

    A
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    B
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    C
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    D
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