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sin(671/2)^(@) + cos(671/2)^(@) is equal...

`sin(`67`1/2)^(@) + cos(`67`1/2)^(@)` is equal to
A) `1/2sqrt(4+2sqrt(2))`, B) `1/2sqrt(4-2sqrt(2))`, C) `1/4(sqrt(4+2sqrt(2)))`, D) `1/4(sqrt(4-2sqrt(2)))`

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Verified by Experts

`sin67^(@)1/2^(@)+cos67^(@)1/2^(@) = sqrt(1+sin135^(@)) = sqrt(1+1/sqrt(2))` (using `cosA+sinA=sqrt(1+sin2A))`
`=1/2sqrt(4+2sqrt(2))` Ans
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