SOLUTION: Can you please help me solve this equation: {{{ sin(x+1)=cos(x) }}} with answers between 0 and 2pi?

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Question 1075988: Can you please help me solve this equation: with answers between 0 and 2pi?
Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
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Can you please help me solve this equation: with answers between 0 and 2pi?
~~~~~~~~~~~~~~~~~~~~~~~

sin(x+1) = cos(x)  <---->   =   


This equation has TWO roots in the area of interest:

1)  x+1 =   ---->  2x =   <---->  x = ,

     and 

2)  x+1 =   ---->  2x =   <---->  x =  + .

Answer. The solutions are x = and x = + .




Plots y = sin(x+1) (red) and y = cos(x) (green)


The plot shows two roots in the interval [0, 2pi).

Solved.



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