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

Step-by-step 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 $\frac{\pi}{2}$

So if we have the function

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

Finally

$y = cos(x - \frac{\pi}{2})=sin(x)$

the answer is the option D