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Solve sin theta+cos theta=sqrt(2) cos A....

Solve `sin theta+cos theta=sqrt(2) cos A`.

Text Solution

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The correct Answer is:
`theta=2n pi +pi/4 pm A, n in Z`
`sin theta + cos theta=sqrt(2) cos A`
`rArr (1//sqrt(2)) sin theta +(1//sqrt(2)) cos theta=cos A`
or `cos (theta-pi//4)=cos A`
`rArr theta-pi//4=2npi pm A`
or `theta=2npi+pi//4 pm A, AA n in Z`
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