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gabeverizon

  • 3 years ago

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

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  1. gabeverizon
    • 3 years ago
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    \[\sin4\theta/1+\cos4\]

  2. zepdrix
    • 3 years ago
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    oh ok :) hmm

  3. gabeverizon
    • 3 years ago
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    The bottom half should read: (1+cos 4 theta)

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

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

  6. zepdrix
    • 3 years ago
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    appear*

  7. gabeverizon
    • 3 years ago
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    right, yes.

  8. zepdrix
    • 3 years ago
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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! :)

  9. zepdrix
    • 3 years ago
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    is that confusing? :c

  10. gabeverizon
    • 3 years ago
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    Ok, never mind that post, I got it. Thanks!!

  11. zepdrix
    • 3 years ago
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    k c:

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