Solve for S
S=3\sin(2t+5)
Solve for t
t=\frac{\arcsin(\frac{S}{3})+2\pi n_{1}-5}{2}\text{, }n_{1}\in \mathrm{Z}
t=\frac{-\arcsin(\frac{S}{3})+2\pi n_{2}+\pi -5}{2}\text{, }n_{2}\in \mathrm{Z}\text{, }|S|\leq 3
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