FROM VECTORS TO COORDINATES $($ANALYTICAL$)$ Calculate the coordinates $$X$$ and $$Y$$ associated to each vector

vec$(A)=5cmat30$

vec$(B)=3cmat200$

vec$(C)=2cmat310$

vec$(D)=7\mathrm{.}5cmat110$

vec$(E)=8cmat0$

vec$(F)=4cmat90$

vec$(G)=2\mathrm{.}3cmat180$

vec$(H)=9cmat270$

vec$(I)=2\mathrm{.}5cmat45$

vec$(J)=6cmat215$

$A_x=$Acos$$

$A_x=5cos30$

$A_x=4\mathrm{.}3cm$

$A_y=$Asin$$

$A_y=5sin30$

Finding $"x"$ coordinate:

$cos=\frac{\text{a}\text{d}\text{j}\text{s}\text{i}\text{d}\text{e}}{hyp}=\frac{x}{A},sin=\frac{\text{o}\text{p}\text{p}\text{s}\text{i}\text{d}\text{e}}{hyp}=\frac{y}{A}$

$cos=\frac{x}{A},sin=\frac{y}{A}$

$x=$Acos$,y=$Asin$$

Finding $"Y"$ coordinate:

$sin=\frac{\text{o}\text{p}\text{p}\text{s}\text{i}\text{d}\text{e}}{hyp}=\frac{y}{A}$

$sin=\frac{y}{A}$

$y=$Asin$$

$B_x=$Bcos$$

$B_x=3cos200$

$B_x=-2\mathrm{.}8cm$

$B_y=$Bsin$$

$B_y=3sin200$hs