Math, asked by himaanshumishra, 1 year ago

What is range of f(x) = | sinx + cosx|

Answers

Answered by divyagupta2
1
Range:√2[0,1]=[0,√2].

hope it helps u....!!

Cris01: No, it is wrong answer
himaanshumishra: Yes,answer is from [0,√2]
divyagupta2: sorry ..let me cheak
Cris01: Modulus is there,so range would be positive
Cris01: hi
Answered by Cris01
2
|sinx + cosx|
= | √2(sinx*1/√2) +√2(cosx*1/√2)|
=|√2 sinx cos(π/4) + √2 cosx sin(π/4)|
=|√2 sin(x + π/4)|
0 to √2
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