For every real number find all the real ...

For every real number find all the real solutions to equation ` sin x + cos(a+x)+ cos (a-x)=2 `

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The correct Answer is:

`cos phi = (2 cos theta)/(sqrt(1+4 cos^(2)a))` or `phi = cos^(-1)((2 cos a)/(sqrt(1+4 cos^(2)a)))`

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