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How to find maximum value of sin(x/2)+ cos(x/2)? Explain the whole procedure to find it.

How to find maximum value of sin(x/2)+ cos(x/2)?
Explain the whole procedure to find it.

Grade:

1 Answers

Arun
25750 Points
5 years ago
Dear student
 
Maximum value of a sinx + b cos x type function is
 
Sqrt (a²+b²)
 
Hence
 
Max of cos x/2 + sinx/2 = sqrt2

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