What are the components in terms of the angle & magnitude?

Question

What are the x & y components of vector E in terms of the angle σ & the magnitude E?

 

For the same vector, what are the x & y components in terms of the angle ø & the magnitude E?

 

       E     y

        \    |

         \   |

          \ø|

        σ \ |

_______\|__x

Answer 1

x = -E(cos σ) <<<-- negative because vector is in second quadrant

y = E(sin σ)