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Shift in perspective (Posted on 2024-01-25) Difficulty: 2 of 5
Find all a such that equation √sinx-√cosx=a has a root.

No Solution Yet Submitted by Danish Ahmed Khan    
Rating: 2.0000 (1 votes)

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Some Thoughts Not a formal proof but ... | Comment 1 of 12
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

  Posted by Larry on 2024-01-25 14:17:11
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