Question

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

Answer 1

\[\sin4\theta/1+\cos4\]

Answer 2

oh ok :) hmm

Answer 3

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

Answer 4

Ok so this appears to be the `Tangent Half-Angle Identity`.

\[\large \tan \frac{x}{2}=\frac{\sin x}{1+\cos x}\]

Answer 5

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

Answer 6

appear*

Answer 7

right, yes.

Answer 8

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! :)

Answer 9

is that confusing? :c

Answer 10

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

Answer 11

k c: