Let $0 \leq x \leq \pi$ and $$\sqrt{2}\sin(4x) - \cos(8x) = 1$$ What is the sum of the $x$ values satisfying this equality? A) $\dfrac{\pi}{3}$ B) $\dfrac{3\pi}{4}$ C) $\pi$ D) $\dfrac{3\pi}{2}$ E) $2\pi$
Let $0 \leq x \leq \pi$ and
$$\sqrt{2}\sin(4x) - \cos(8x) = 1$$
What is the sum of the $x$ values satisfying this equality?
A) $\dfrac{\pi}{3}$
B) $\dfrac{3\pi}{4}$
C) $\pi$
D) $\dfrac{3\pi}{2}$
E) $2\pi$