Question

if root 2 sin (60-A)=1, then A is what?

Answer 1

Step 1: Divide both sides by \(\sqrt{2}\)

Answer 2

sin (60-A) = 1/sqrt2
60-A = 45 degrees
A = 15 degrees

60-A could also be 135 degrees and greater
it depends on the range of answers you require

Answer 3

sqrt(2) *sin (60-A)=1 ==> sin (60-A)=1/sqrt(2) ===> 60-A=45===> A=15