## anonymous 3 years ago Use a half-angle formula to simplify: (sin4 theta)/(1+cos4theta).

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1. anonymous

$\sin4\theta/1+\cos4$

2. zepdrix

oh ok :) hmm

3. anonymous

The bottom half should read: (1+cos 4 theta)

4. zepdrix

Ok so this appears to be the Tangent Half-Angle Identity. $\large \tan \frac{x}{2}=\frac{\sin x}{1+\cos x}$

5. zepdrix

So we appears to have something that looks like the right side of this identity, yes?

6. zepdrix

appear*

7. anonymous

right, yes.

8. zepdrix

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

is that confusing? :c

10. anonymous

Ok, never mind that post, I got it. Thanks!!

11. zepdrix

k c: