# What is the amplitude, period and the phase shift of #y=sin(θ - 45°)#?

##### 1 Answer

Dec 7, 2015

Given a generic trigonometric function like

#A# affects the amplitude#omega# affects the period via the relation#T=(2\pi)/\omega# #phi# is a phase shift (horizontal translation of the graph)#k# is a vertical translation of the graph.

In your case,

This means that the amplitude and the period remain untouched, while there is a shift phase of