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The value of sin((pi)/(2)+2sin^(-1)(1)) ...

The value of `sin((pi)/(2)+2sin^(-1)(1))` is:

A

`-1`

B

0

C

`(1)/(sqrt2)`

D

`(sqrt3)/(2)`

Text Solution

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The value of sin^(-1)((12)/(13)) - sin ^(-1)((3)/(5)) is equal to (A) pi-sin ^(-1) ((63)/(65)) (B) (pi)/(2) - sin ^(-1)((56)/(65)) (C) (pi)/(2) - cos ^(-1)((9)/(65)) (D) pi - cos ^(-1)((3)/(65))

Knowledge Check

  • The value of sin [ (pi)/(3) - sin^(-1) (- (sqrt(3))/(2))]

    A
    `(1)/(sqrt(2))`
    B
    `(1)/(2)`
    C
    `(sqrt3)/(2)`
    D
    0

  • The value of sin^(-1)((12)/(13)) - sin ^(-1)((3)/(5)) is equal to (A) pi-sin ^(-1) ((63)/(65)) (B) (pi)/(2) - sin ^(-1)((56)/(65)) (C) (pi)/(2) - cos ^(-1)((9)/(65)) (D) pi - cos ^(-1)((3)/(65))

    A
    `pi-sin ^(-1) ((63)/(65))`
    B
    `(pi)/(2) - sin ^(-1)((56)/(65))`
    C
    `(pi)/(2) - cos ^(-1)((9)/(65)) `
    D
    `pi - cos ^(-1)((3)/(65))`
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