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If sqrt(3)costheta+sintheta=sqrt(2) , th...

If `sqrt(3)costheta+sintheta=sqrt(2)` , then general value of `theta` is `npi+(-1)^npi/4,\ n Z` b. `(-1)^npi/4-pi/3,\ n Z` c. `npi+-pi/4-pi/3, n Z` d. `npi+(-1)^npi/4-pi/3, n Z`

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`√3 costheta + sintheta = √2 `
=> `√3/2costheta + 1/2sintheta = √2/2`
=> `cosπ/6.costheta + sinπ/6.sintheta = 1/√2 `
=> `cos(theta-π/6) = cosπ/4 `
=> `theta - π/6 = 2nπ ± π/4, n ∈ Z `
=> `theta = 2nπ + π/4 + π/6, n ∈ Z or theta = 2nπ - π/4 + π/6, n ∈ Z`
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