1.

The value of `cos^(-1)(cos(2tan^(-1)((sqrt(3)+1)/(sqrt(4-2sqrt(3))))))`isA. `(pi)/6`B. `(5pi)/6`C. `(5pi)/12`D. `(pi)/12`

Answer» Correct Answer - B
`(sqrt(3)+1)/(sqrt(4-2sqrt(3)))=(sqrt(3)+1)/((sqrt(3)-1))=(sqrt(3)+1)/(sqrt(3)-1)=2+sqrt(3)="tan"(5pi)/12`
`:.cos^(-1)(cos(2.(5pi)/12))=cos^(-1)(cos(5pi)/6)=(5pi)/6`


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