Question

write the equation of a sine function that has the given characteristics.

Amplitude: 2

period: π

Phase shift: 1/2

Answer 1

Step 1:

The amplitude of the sine function is 2.

Period of the function is .

Phase shift of the function is .

The general form of sine function is ,

where is the amplitude,  is cycles from 0 to and is the phase shift along -axis.

Amplitude of the function .

Period of the function is .

Phase shift of the function is .

The sine function is .

Solution:

Equation of sine function is .