Find the Linear Equations That Can Be Used to Convert $$\theta = 80 ^ { \circ }$$

Multiple Choice

Find the linear equations that can be used to convert an (x, y) equation to a (u, v) equation using the given angle of
rotation
- $$\theta = 80 ^ { \circ }$$

A) $x = 0.985 \mathrm { u } - 0.174 \mathrm { v }$
$y = 0.174 u + 0.985 v$

B) $x = 0.174 u - 0.985 \mathrm { v }$
$y = 0.174 u + 0.985 v$

C) $x = 0.985 \mathrm { u } + 0.174 \mathrm { v }$
$y = 0.985 u - 0.174 v$

D) $x = 0.174 u - 0.985 v$
$y = 0.985 u + 0.174 v$