Find the range of 1) 7 cos x - 24 sin x + 5

Let y = 7cosx-24sinx+5As we know that Acosx+Bsinx lies between -A2+B2 to A2+B2So here,   -72+-242 7cosx-24sinx 72+-242-257cosx-24sinx25Adding 5, -12+57cosx-24sinx+525+5-77cosx-24sinx+530 So range is -7,30

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