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The minimum value of cosx+cosy+cos(x+y) ...

The minimum value of `cosx+cosy+cos(x+y)` is

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Assertion (A) : The equation Sin^(2)x+Cos^(2)y=2Sec^(2)z is only solvable sinx=1 cosy, 1 and secz=1 where x, y, z in R Reason (R) : Maximum value of Sin x and Cosy is 1 and minimum value of sec z is 1