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Solve: sqrt(3) costheta+sintheta=sqrt(2)...

Solve: `sqrt(3) costheta+sintheta=sqrt(2)`

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`sqrt(3)costheta+sin theta=sqrt2`
Divide the equation by `2`
`sqrt3/2costheta+1/2sintheta=1/sqrt2`
`sin(pi/3)costheta+cos(pi/3)sintheta=1/sqrt2`
`sin(pi/3+theta)=1/sqrt2`
`sin(pi/3+theta)=sin(pi/4)`
Compare the equation
`pi/3+theta=npi+(-1)^npi/4`
`theta=npi+(-1)^npi/4-pi/3`
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