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If the equation sin x + cos (k +x)+ cos ...

If the equation `sin x + cos (k +x)+ cos (k-x)=2` has real solutions, then `sin k` can be (A) `1/4` (B) `1/sqrt2` (C) `3/4` (D) `-3/4`

A

`x=n pi , a in R , n in I`

B

` =(4n+1)(pi)/(2),a in R n in I`

C

`x=1/2sin^(-1)(4(a+1))/(a^(2)),a in (-infty,2-2sqrt(2)]mu[2+2sqrt(2),infty)-(-1)`

D

none of these

Text Solution

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The correct Answer is:
a,b,c,d
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