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A*sin(x) + cos(x) = 1B*sin(x) - cos(x) = 1

Add the two equations: A*sin(x) + B*sin(x) = 2

(A+B)*sin(x) = 2

sin(x) = 2/(A+B)

x = arcsin{2/(A+B)}


That is the main solution. There may be others: depending on the range for x.

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Q: Need help with working this Trig problem out. A sin alpha plus cos alpha equals 1 B sin alpha - cos alpha equals 1 Solution is AB equals 1?
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