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What is the principal value of "cos"^(-1...

What is the principal value of `"cos"^(-1)("cos"(2pi)/(3))+"sin"^(-1)("sin"(2pi)/(3))` ?

A

`pi/2`

B

`-pi`

C

`pi`

D

`0`

Text Solution

Verified by Experts

The correct Answer is:
C
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  • Principal value of cos^(-1)(-cos""(2pi)/3) is

    A
    `pi/3`
    B
    `(2pi)/3`
    C
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    D
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    A
    `(3pi)/(5)`
    B
    `(-3pi)/(5)`
    C
    `(2pi)/(5)`
    D
    None of these

  • The principal value of "sin"^(-1)("sin"(3pi)/(5)) is

    A
    `(3pi)/(5)`
    B
    `(-3pi)/(5)`
    C
    `(2pi)/(5)`
    D
    None of these

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