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sin(x)-cos(x) = (1)sin(x)+(-1)cos(x) so the range is sqrt((1)^2+(-1)^2)=1 and the domain is R <><><><><> The domain of sin x - cos x is [-infinity, +infinity]. The range of sin x - cos x is [-1.414, +1.414].
If y = sin x:x can take on any value, so the domain is the set of real numbers.y can take on values between -1 and 1 (including the extremes); so the range is -1
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The range depends on the domain. If the domain is the complex field, the range is also the whole of the complex field. If the domain is x = 0 then the range is 4.
domain: (-infinity to infinity) range: ( -infinity to infinity)