Question

Given y = cos 6 x, the phase shift is _

Answer 1

Solution:

The cosine wave equation is expressed as

$\begin{gathered} y=A\cos(B(x+C)+D\text{ ----- equation 1} \\ where \\ A\Rightarrow amplitude \\ C\Rightarrow phase\text{ shift} \\ D\Rightarrow vertical\text{ shift} \end{gathered}$

Given:

$y=\cos6x\text{ ---- equation 2}$

To evaluate the phase shift, we compare equations 1 and 2.

By comparison, we have

$C=0$

Hence, the phase shift is 0.