Answer with explanation:
To Answer this question,
→→We will look at the graph and observe the function carefully
y = cos x
It has domain equal to [tex][\frac{-\pi}{2}, \frac{-\pi}{2}][/tex]
and Range equal to , [-1, 1].
On , Y axis it takes maximum value =1 at , x=0 degree.
And→→ when you will look at the graph and observe the second function,
[tex]y=cos (x +\frac{\pi}{6})[/tex]
Domain is equal to [tex][\frac{-\pi}{2}+\frac{\pi}{6} ,\frac{\pi}{2}+\frac{\pi}{6}]=[\frac{-\pi}{3},\frac{2\pi}{3}][/tex]
Range =[-1, 1]
It's Maximum value is also =1, which it takes at , x=-30 degree.
And, when you will compare the graphs of two functions,the graph has been shifted
[tex]\frac{\pi}{2} - \frac{\pi}{3}=\frac{\pi}{6}[/tex]
to the left.
Option A: There is a phase shift to the left.
