Math  What is the period?
posted by Anonymous .
Can someone show me how to get the period for the following equation using radian mode in the calculator?:
d(t) = 2.5 sin0.166 pi (t  1.5) + 13.4

Answer  12.2

The variable following the sine function tells you the frequency f. Forget the 1.5 term  that is just a phase angle.
2 pi f t = 0.166 pi t
(When f*t incresaes by 1, the phase changes by 2 pi)
Therefore 2f = 0.166
f = 0.083 s^1
P = 1/f = 1/0.083 = 12.0 s