2sin(x+47) = 1, x∈[0, 360)

I know the answer is 103 and 343 degrees but I'm not sure how to get there. Please help!

Question

2sin(x+47) = 1, x∈[0, 360)

I know the answer is 103 and 343 degrees but I'm not sure how to get there. Please help!

xapproachesinfinity · Answer

first multiply out by 1/2 to isolate sin(    )

xapproachesinfinity · Answer

then ask your self what angles give 1/2 in the interval 0 to 360
meaning the full circle rotation

anonymous · Answer

30 and 150?

xapproachesinfinity · Answer

30 is good but 150 not

xapproachesinfinity · Answer

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xapproachesinfinity · Answer

see that sin150 is negative 1/2 not 1/2

anonymous · Answer

I thought 150 degrees is in the 2nd quadrant so it's 1/2?

xapproachesinfinity · Answer

oh yeah sorry i'm thinking of 210 lol

xapproachesinfinity · Answer

you are correct

xapproachesinfinity · Answer

then solve x+47=150 or x+47=30

anonymous · Answer

I got 103 for the first one but for the second i got -17 instead of 343. I don't know where the 343 comes from in the solution, I don't know how to get there.

xapproachesinfinity · Answer

hmm do rotation clockwise and see if -17 actually is equivalent to that

xapproachesinfinity · Answer

-17 and keep adding rotation of 360

anonymous · Answer

Ah, I see. Got it. Thank you so much for the help!

xapproachesinfinity · Answer

should be equivalent the answer you got is correct

anonymous · Answer

@aboveit
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