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mitchelsewbaran

  • 3 years ago

Find the exact value by using a half-angle identity.

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  1. mitchelsewbaran
    • 3 years ago
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  2. dpaInc
    • 3 years ago
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    HINT: \(\large sin(x/2)=\pm \sqrt{\frac{1-cosx}{2}} \)

  3. dpaInc
    • 3 years ago
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    can you figure out what x = ??? first?

  4. dpaInc
    • 3 years ago
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    find x: \(\large \frac{7\pi}{8}=\frac{x}{2} \)

  5. mitchelsewbaran
    • 3 years ago
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    i got 7pi/4

  6. dpaInc
    • 3 years ago
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    ok... so plugging that into the half angle formula: \(\large sin(\frac{7\pi}{8})=sin(\frac{\frac{7\pi}{4}}{2})=\pm \sqrt{\frac{1-cos(\frac{7\pi}{4})}{2}} \)

  7. dpaInc
    • 3 years ago
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    can you take it from here?

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