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Evaluate the Following: `Cos^-1{Cos ((4pi)/3)}`

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Question

Evaluate the following:

`cos^-1{cos  ((4pi)/3)}`

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Solution

We know

`cos^-1(costheta)=thetaif 0<=theta<=pi`

We have

`cos^-1{cos  ((4pi)/3)}=cos^-1{cos(2pi-(2pi)/3)}`

`=cos^-1{cos((2pi)/3)}`

`=(2pi)/3`

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