Question

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

Answer 1

Answer: Option D

phase

Explanation:

By definition, the cosine function has the following form

`y = cos (x - \phi)`

Where
`\phi` is known as the phase angle

By definition the sinx function is equal to the cosx function with a phase shift of
`(\pi)/(2)`

So if we have the function

`y = cos (x - \phi)` and we want to transform it into the function
`y=sin(x)` then
`\phi = (\pi)/(2)`

Finally

`y = cos(x - (\pi)/(2))=sin(x)`

the answer is the option D