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Evaluate the following: 1. sin^(-1)(s ...

Evaluate the following: 1. `sin^(-1)(s i n(2pi)/3)` 2. `cos^(-1)(c o s(7pi)/6)` 3. `tan^(-1)(t a n(2pi)/3)`

Text Solution

Verified by Experts

1)`sin^(-1)sin(2/3pi)`
`sin^(-1)sintheta=theta`
`sin^(-1)sin(pi-pi/3)`
`sin^(-1)sin(pi/3)`
`pi/3`
2)`cos^(-1)cos(7/6pi)`
`cos^(-1)cos(2pi-(2lambda)/6)`
`cos^(-1)cos(5/6pi)`
...
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Knowledge Check

  • If "sin"^(1)+x "sin"^(-1) y=(2pi)/(3) then cos^(-1)x+cos^(-1)y is equal to

    A
    `(2pi)/(3)`
    B
    `(pi)/(3)`
    C
    `(pi)/(6)`
    D
    `pi`

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