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anonymous
 3 years ago
Use a halfangle formula to simplify: (sin4 theta)/(1+cos4theta).
anonymous
 3 years ago
Use a halfangle formula to simplify: (sin4 theta)/(1+cos4theta).

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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[\sin4\theta/1+\cos4\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0The bottom half should read: (1+cos 4 theta)

zepdrix
 3 years ago
Best ResponseYou've already chosen the best response.1Ok so this appears to be the `Tangent HalfAngle Identity`. \[\large \tan \frac{x}{2}=\frac{\sin x}{1+\cos x}\]

zepdrix
 3 years ago
Best ResponseYou've already chosen the best response.1So we appears to have something that looks like the `right` side of this identity, yes?

zepdrix
 3 years ago
Best ResponseYou've already chosen the best response.1If 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! :)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Ok, never mind that post, I got it. Thanks!!
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