Use the axis rotation formulas: \(\displaystyle{x}={u} \cos{\theta}-{v} \sin{\theta}\)

\(\displaystyle{v}{y}={u} \sin{\theta}+{v} \cos{\theta}\)

Substitute \(\displaystyle\theta={70}^{\circ}\). This is not a special angle so we use a calculator to approximate.

For x, \(\displaystyle{x}={u}{ \cos{{70}}^{\circ}-}{v}{ \sin{{70}}^{\circ}}\)

x=0.342u-0.940v

For y, \(\displaystyle{y}={u}{ \sin{{70}}^{\circ}+}{v}{ \cos{{70}}^{\circ}}\)

y=0.940u+0.342v