Now if we use a fourier basis as the feature representation, what would be the approximation of the state value at the current location?

The calculation for each feature to be used here is according to the equation $(9\mathrm{.}18)$ on page $212$ in the textbook:

$x_i(s)=cos(s^T{c}^i)$

We will use four features here. Here are details about the $($fixed$)$ parameter vectors $c^i,$ which are the coefficients appearing in the above equation for the $i^{th}$ feature.

$c^0=(0,1{)}^T$

$c^1=(1,0{)}^T$

$c^2=(0\mathrm{.}2,0\mathrm{.}8{)}^T$

$c^3=(0\mathrm{.}8,0\mathrm{.}2{)}^T$

The weights for these four features are $w_0=0\mathrm{.}6,w_1=0\mathrm{.}3,w_2=0\mathrm{.}5,$ and $w_3=0\mathrm{.}3.$

Compute it up to two decimal places.

$($no answer$)$