If A = [(costheta,-sintheta),(sintheta,c...

If `A = [(costheta,-sintheta),(sintheta,costheta)]`, then the matrix `A^(-50)`, when `theta = (pi)/(12)`, is equal to

A

`[((1)/(2),-(sqrt(3))/(2)),((sqrt(3))/(2),(1)/(2))]`

B

`[(sqrt(3)/(2),(1)/(2)),(-(1)/(2),(sqrt(3))/(2))]`

C

`[(sqrt(3)/(2),-(1)/(2)),((1)/(2),(sqrt(3))/(2))]`

D

`[((1)/(2),(sqrt(3))/(2)),(-(sqrt(3))/(2),(1)/(2))]`

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The correct Answer is:

B

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