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If A = [(cos alpha,sin alpha),(-sin alph...

If `A = [(cos alpha,sin alpha),(-sin alpha,cos alpha)]` then `A^(10)` is equal to

A

`[(cos^(10)alpha,sin^(10)alpha),(-sin^(10)alpha,cos^(10)alpha)]`

B

`[(cos^(10)alpha,-sin^(10)alpha),(sin^(10)alpha,cos^(10)alpha)]`

C

`((cos^(10)alpha,sin^(10)alpha),(-sin^(10)alpha,-cos^(10)alpha))`

D

`[(cos 10 alpha,sin 10 alpha),(-sin 10 alpha,cos 10 alpha)]`

Text Solution

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The correct Answer is:
D
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