4. The cosine function can be made to have the same values as the sine function for each angle by including a shifted _______ in the calculation.

A. amplitude
B. wavelength
C. period
D. phase

Respuesta :

Answer: Option D

phase

Step-by-step explanation:

By definition, the cosine function has the following form

[tex]y = cos (x - \phi)[/tex]

Where [tex]\phi[/tex] is known as the phase angle

By definition the sinx function is equal to the cosx function with a phase shift of [tex]\frac{\pi}{2}[/tex]

So if we have the function

[tex]y = cos (x - \phi)[/tex] and we want to transform it into the function [tex]y=sin(x)[/tex] then [tex]\phi = \frac{\pi}{2}[/tex]

Finally

[tex]y = cos(x - \frac{\pi}{2})=sin(x)[/tex]

the answer is the option D