Question: How to convert "sin(x)+cos(x)" into "sqrt(2)*sin(x+pi/4)"?

January 17 2014 lcrpn 15
Maple

2

As the title, how to convert "sin(x)+cos(x)" and this kinds into "sqrt(2)*sin(x+pi/4)"?

Sum of two sine functions with the same cycle should can be converted into one sine function, with some amplitude gain and phase offset. 

 

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