is stevia an artificial sweetener

is stevia an artificial sweetener

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\[ a^2 (\sin^2(c) + \cos^2(c)) = 1 + 1 = 2 \]\[ a^2 = 2 \quad \Rightarrow \quad a = \sqrt{2} \]\[ \sqrt{2} \sin(c) = -1 \quad \Rightarrow \quad \sin(c) = -\frac{1}{\sqrt{2}} \]\[ \sqrt{2} \cos(c) = 1 \quad \Rightarrow \quad \cos(c) = \frac{1}{\sqrt{2}} \]\[ V(t) = V_0 \cos^2(\omega t + \phi) \]\[ V(0) = V_0 \cos^2(\phi) = \frac{V_0}{2} \]\[ \cos^2(\phi) = \frac{1}{2} \quad \Rightarrow \quad \cos(\phi) = \pm \frac{1}{\sqrt{2}} \]\[ V\left(\frac{\pi}{2\omega}\right) = V_0 \cos^2\left(\omega \cdot \frac{\pi}{2\omega} + \phi\right) = 0 \]\[ \Rightarrow \quad \cos^2\left(\frac{\pi}{2} + \phi\right) = 0 \]\[ \Rightarrow \quad \cos\left(\frac{\pi}{2} + \phi\right) = 0 \]