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gabeverizon Group Title

Use a half-angle formula to simplify: (sin4 theta)/(1+cos4theta).

  • one year ago
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  1. gabeverizon Group Title
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    \[\sin4\theta/1+\cos4\]

    • one year ago
  2. zepdrix Group Title
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    oh ok :) hmm

    • one year ago
  3. gabeverizon Group Title
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    The bottom half should read: (1+cos 4 theta)

    • one year ago
  4. zepdrix Group Title
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    Ok so this appears to be the `Tangent Half-Angle Identity`. \[\large \tan \frac{x}{2}=\frac{\sin x}{1+\cos x}\]

    • one year ago
  5. zepdrix Group Title
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    So we appears to have something that looks like the `right` side of this identity, yes?

    • one year ago
  6. zepdrix Group Title
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    appear*

    • one year ago
  7. gabeverizon Group Title
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    right, yes.

    • one year ago
  8. zepdrix Group Title
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    If it helps, maybe make a substitution. Let \(\large x=4\theta\) We know that this will simplify down to \(\large \tan \dfrac{x}{2}\). So from here, \(\large x=4\theta\), solve for x/2! :)

    • one year ago
  9. zepdrix Group Title
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    is that confusing? :c

    • one year ago
  10. gabeverizon Group Title
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    Ok, never mind that post, I got it. Thanks!!

    • one year ago
  11. zepdrix Group Title
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    k c:

    • one year ago
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