What is the middle line of the function #f(t)=pisin(pit-pi)+pi#?

1 Answer
Jan 6, 2017

# y = pi = 3.1416#, nearly

graph{(3.14(sin(3.14(x-1))+1)-y)(y-3.14)=0 [-20, 20, -10, 10]}

Explanation:

Period of this sine wave is #(2pi)/pi=2#.

The amplitude= # (max f - min f )/2=(2pi-0)/2=pi#

Cyclic zeniths ( crests ) lie on #y = f = (2pi)#

Cyclic nadirs ( lowest points ) lie on #y =0#.

The middle ( axial ) line is #y = pi#