Find all a such that equation √sinx-√cosx=a has a root.
Each of √sin(x) and √cos(x) can take on values from 0 to 1.
So the difference can take on values from -1 to 1.
So I assume the answer is the closed interval [-1,1].
Desmos confirmation:
https://www.desmos.com/calculator/ydyojamsoj
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Posted by Larry
on 2024-01-25 14:17:11 |