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y=asin(nt+varepsilon)+by = a sin(nt + varepsilon) + by=asin(nt+varepsilon)+b or y=acos(nt+varepsilon)+by = a cos(nt + varepsilon) + by=acos(nt+varepsilon)+b
Periodic motion
rac{2pi}{n} where nnn is coefficient of ttt
111
β1-1β1
When cos(nt+varepsilon)=β1cos(nt + varepsilon) = -1cos(nt+varepsilon)=β1 or sin(nt+varepsilon)=β1sin(nt + varepsilon) = -1sin(nt+varepsilon)=β1
When cos(nt+varepsilon)=1cos(nt + varepsilon) = 1cos(nt+varepsilon)=1 or sin(nt+varepsilon)=1sin(nt + varepsilon) = 1sin(nt+varepsilon)=1
Rotating wheels, tides, pendulums, seasonal temperatures
Time taken for one complete cycle of the motion
Isolate trig function, solve for angle, then solve for ttt
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