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please explain thank you

 Apr 21, 2019
 #1
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\(2sin(3x+45^\circ)=1\\ sin(3x+45^\circ)=\frac{1}{2}\\ 3x+45^\circ=(30+360n)^\circ\quad or \quad (150+360n)^\circ\\ 3x+45^\circ=[180n+(-1)^n*30] ^\circ\\ 3x^\circ=[180n-45+(-1)^n*30] ^\circ\\ x^\circ=[60n-15+(-1)^n*10] ^\circ\\ x=60n-15+10(-1)^n\\ \)

n is in the set of integers.

That needs to be carefully checked.

 

b)     What is closest to 200degrees?        x  or    3x+45  ?   

         I don't understand what is being asked here.

 Apr 22, 2019

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