Question

The smallest positive number for which 3sin(2x−6)=1

Answer 1

`3\sin(2x-6)=1 \\ \\ \Rightarrow\sin(2x-6)= (1)/(3) \\ \\ \Rightarrow2x-6=\sin^(-1) (1)/(3) =19.47 \\ \\ \Rightarrow2x=19.47+6=25.47 \\ \\ \Rightarrow x= (25.47)/(2) \approx12.7^o`