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Given the function $2 \sin(2x+\frac{\pi}{2})$ find the amplitude, the period, the phase shift and the intersection points with the parent function, $\sin(x)$.

I was able to find the characteristics:

Period: $\pi$

Amplitude: 2

Phase shift: $\frac{\pi}{4}$

However I couldn't solve the equation $2\sin(2x+\frac{\pi}{2})=\sin(x)$. My difficulty was those factors that multiply the sine and the variabel.

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