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Question

If A=(cosαsinαsinαsinα), then A10=

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 B (cos10αsin10αsin10αcos10α)
A=(cosαsinαsinαcosα)
A2=(cosαsinαsinαcosα)(cosαsinαsinαcosα)
A2=(cos2αsin2αsin2αcos2α)
By using mathematical induction we've,
So, A10=(cos10αsin10αsin10αcos10α).

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