Trigonometric equation with sine graphIf sin − 1 ( 1 / 2 ) = 30 ∘ ,solve the equation I've never seen anything like this and I can't find anything in my textbook so an explanation would be appreciated

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Trigonometric equation with sine graphIf       sin          −      1      (      1              /            2      )        =      30    ∘   ,solve the equation I&#039;ve never seen anything like this and I can&#039;t find anything in my textbook so an explanation would be appreciated

plenarnoDcg · Accepted Answer

If you know identity   sin  ⁡  (  −  x  )  =  −  sin  ⁡  x, and can solve   sin  ⁡  x  =      1    2   then   −  x will be the solution of your original equation. Please be aware that you&#039;ll have two solutions.If you are given a graph of   y  =  sin  ⁡  x then you can draw line   y  =  −      1    2   and your solutions will be points of intersection of the sine graph and that line.

Reece Black · Accepted Answer

In general : If   sin  ⁡  x  =  sin  ⁡  α  , then   x  =  n  π  +  (  −  1      )          n        α for any   n  ∈      Z    .For your problem, we have   sin  ⁡  x  =  sin  ⁡  (  −      30    0    ) and choose values of   n so that   x is in the given range.

Trigonometric equation with sine graph If sin^(-1(1/2))=30 degrees ,solve the equation I've never seen anything like this and I can't find anything in my textbook so an explanation would be appreciated

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