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Let n be a natural number such that n gt...

Let n be a natural number such that `n gt 4 and U_(n) =sin ^(n) x+ cos ^(n)x.` Then which of the following is correct ?

A

`U_(n)=U_(n-1) -U_(n-4) sin ^(2)x cos ^(2)x`

B

`U_(n) =U_(n-2)-U_(n-4) sin ^(2) x cos ^(2)x`

C

`U_(n) =U_(n-1) +U_(n-3) sin x cos x`

D

`U_(n) =U_(n-4) -U_(n-2) sin ^(2) x cos ^(2) x`

Text Solution

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The correct Answer is:
B
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