Transform and reconstruct sine and cosine functions
The function is defined for all real x. Its range, extrema and phase-anchor pattern refer to this unrestricted function. Use the finite interval below only for key points and x-intercepts; the phase anchor may lie outside it
The function under consideration is
\[f(x)=-\frac{1}{2}\sin\left(x\right)\]
Angles are measured in radians. The interval for key points and x-intercepts is \(\left[4\pi,6\pi\right]\)