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

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10-11-2017
Mathematics

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

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nobillionaireNobley nobillionaireNobley · Answer 1 · 2017-11-20T13:05:06+01:00

nobillionaireNobley nobillionaireNobley

20-11-2017

[tex]3\sin(2x-6)=1 \\ \\ \Rightarrow\sin(2x-6)= \frac{1}{3} \\ \\ \Rightarrow2x-6=\sin^{-1} \frac{1}{3} =19.47 \\ \\ \Rightarrow2x=19.47+6=25.47 \\ \\ \Rightarrow x= \frac{25.47}{2} \approx12.7^o[/tex]

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