What is the formula for isolating b in the law of sines?

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sin α/a = sin β/b

when my isolates b they get

b = α sin β/sinα

I would think to isolate b you would multiply both sides by 1/sinβ which would make

b = sin α/ a sin β
 
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Take sin α/a = sin β/b.

Multiply both sides by 1/sinβ and you get

sin α / (a sin β) = 1/b.
 

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