steve816
  • steve816
Find the exact value.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
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steve816
  • steve816
\[\sin \frac{ 5\pi }{ 8 }\]
WolframWizard
  • WolframWizard
Use the sin half angle identity. sin(x/2)=\[\sqrt{(1-cosx)/2}\] If x/2=5π/8 then x=5π/4 Plug this into the half angle identity to get \[\sqrt{(1-cos(5π/4))/2}\] This simplifies to \[\sqrt{(2-√2)/4}\] and then into √(2-√2)/2
WolframWizard
  • WolframWizard
Just to clarify, the negative square root is discarded because 5π/8 is in Q2 so sinx has to be positive.

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steve816
  • steve816
thanks so much!

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