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Question

If A=(cosαsinαsinαcosα),thenA10=

A
(cos10αsin10αsin10αcos10α)
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B
(cos10αsin10αsin10αcos10α)
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C
(cos10αsin10αsin10αcos10α)
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D
(cos10αsin10αsin10αcos10α)
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Solution

The correct option is C (cos10αsin10αsin10αcos10α)
A=[cosαsinαsinαcosα]
A2 =AA=[cosαsinαsinαcosα][cosαsinαsinαcosα]=[cos2αsin2αcosαsinα+sinαcosαsinαcosαcosαsinαsin2α+cos2α]=[cos2αsin2αsin2αcos2α]
Similarly,
A10=[cos10αsin10αsin10αcos10α]

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